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Finding the Third Proportional to 477,434 and 648,792

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Solution

The third proportional to 477,434 and 648,792 is: 881,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,434 : 648,792 = 648,792 : x
  2. Step 2: Convert to fraction form
    477,434/648,792 = 648,792/x
  3. Step 3: Cross multiply
    477,434x = 648,792 × 648,792
  4. Step 4: Simplify right side
    477,434x = 420,931,059,264
  5. Step 5: Solve for x
    x = 420,931,059,264/477,434
  6. Step 6: Final answer
    x = 881,652.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.