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Finding the Third Proportional to 461,690 and 695,577

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Solution

The third proportional to 461,690 and 695,577 is: 1,047,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,690 : 695,577 = 695,577 : x
  2. Step 2: Convert to fraction form
    461,690/695,577 = 695,577/x
  3. Step 3: Cross multiply
    461,690x = 695,577 × 695,577
  4. Step 4: Simplify right side
    461,690x = 483,827,362,929
  5. Step 5: Solve for x
    x = 483,827,362,929/461,690
  6. Step 6: Final answer
    x = 1,047,948.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.