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Finding the Third Proportional to 347,280,415 and 723,140,545

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Solution

The third proportional to 347,280,415 and 723,140,545 is: 1,505,792,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,280,415 : 723,140,545 = 723,140,545 : x
  2. Step 2: Convert to fraction form
    347,280,415/723,140,545 = 723,140,545/x
  3. Step 3: Cross multiply
    347,280,415x = 723,140,545 × 723,140,545
  4. Step 4: Simplify right side
    347,280,415x = 522,932,247,822,897,024
  5. Step 5: Solve for x
    x = 522,932,247,822,897,024/347,280,415
  6. Step 6: Final answer
    x = 1,505,792,510.13

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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.