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Finding the Third Proportional to 403,595,403,774 and 567,629,931,675

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Solution

The third proportional to 403,595,403,774 and 567,629,931,675 is: 798,333,519,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,595,403,774 : 567,629,931,675 = 567,629,931,675 : x
  2. Step 2: Convert to fraction form
    403,595,403,774/567,629,931,675 = 567,629,931,675/x
  3. Step 3: Cross multiply
    403,595,403,774x = 567,629,931,675 × 567,629,931,675
  4. Step 4: Simplify right side
    403,595,403,774x = 322,203,739,333,365,185,118,208
  5. Step 5: Solve for x
    x = 322,203,739,333,365,185,118,208/403,595,403,774
  6. Step 6: Final answer
    x = 798,333,519,957.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.