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Finding the Third Proportional to 392,454 and 532,617.19

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Solution

The third proportional to 392,454 and 532,617.19 is: 722,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,454 : 532,617.19 = 532,617.19 : x
  2. Step 2: Convert to fraction form
    392,454/532,617.19 = 532,617.19/x
  3. Step 3: Cross multiply
    392,454x = 532,617.19 × 532,617.19
  4. Step 4: Simplify right side
    392,454x = 283,681,068,420.41
  5. Step 5: Solve for x
    x = 283,681,068,420.41/392,454
  6. Step 6: Final answer
    x = 722,839.03

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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.