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Finding the Third Proportional to 323,254,416 and 492,952,560

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Solution

The third proportional to 323,254,416 and 492,952,560 is: 751,736,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,254,416 : 492,952,560 = 492,952,560 : x
  2. Step 2: Convert to fraction form
    323,254,416/492,952,560 = 492,952,560/x
  3. Step 3: Cross multiply
    323,254,416x = 492,952,560 × 492,952,560
  4. Step 4: Simplify right side
    323,254,416x = 243,002,226,410,553,600
  5. Step 5: Solve for x
    x = 243,002,226,410,553,600/323,254,416
  6. Step 6: Final answer
    x = 751,736,757.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.