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Finding the Third Proportional to 501,281,057 and 766,329,542

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Solution

The third proportional to 501,281,057 and 766,329,542 is: 1,171,520,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,281,057 : 766,329,542 = 766,329,542 : x
  2. Step 2: Convert to fraction form
    501,281,057/766,329,542 = 766,329,542/x
  3. Step 3: Cross multiply
    501,281,057x = 766,329,542 × 766,329,542
  4. Step 4: Simplify right side
    501,281,057x = 587,260,966,941,929,728
  5. Step 5: Solve for x
    x = 587,260,966,941,929,728/501,281,057
  6. Step 6: Final answer
    x = 1,171,520,365.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.