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Finding the Third Proportional to 501,595,458 and 774,758,583

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Solution

The third proportional to 501,595,458 and 774,758,583 is: 1,196,683,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,595,458 : 774,758,583 = 774,758,583 : x
  2. Step 2: Convert to fraction form
    501,595,458/774,758,583 = 774,758,583/x
  3. Step 3: Cross multiply
    501,595,458x = 774,758,583 × 774,758,583
  4. Step 4: Simplify right side
    501,595,458x = 600,250,861,932,167,936
  5. Step 5: Solve for x
    x = 600,250,861,932,167,936/501,595,458
  6. Step 6: Final answer
    x = 1,196,683,208.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.