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Finding the Third Proportional to 347,280,417 and 723,140,549

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Solution

The third proportional to 347,280,417 and 723,140,549 is: 1,505,792,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,280,417 : 723,140,549 = 723,140,549 : x
  2. Step 2: Convert to fraction form
    347,280,417/723,140,549 = 723,140,549/x
  3. Step 3: Cross multiply
    347,280,417x = 723,140,549 × 723,140,549
  4. Step 4: Simplify right side
    347,280,417x = 522,932,253,608,021,376
  5. Step 5: Solve for x
    x = 522,932,253,608,021,376/347,280,417
  6. Step 6: Final answer
    x = 1,505,792,518.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.