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Finding the Third Proportional to 498,357 and 747,381

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Solution

The third proportional to 498,357 and 747,381 is: 1,120,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,357 : 747,381 = 747,381 : x
  2. Step 2: Convert to fraction form
    498,357/747,381 = 747,381/x
  3. Step 3: Cross multiply
    498,357x = 747,381 × 747,381
  4. Step 4: Simplify right side
    498,357x = 558,578,359,161
  5. Step 5: Solve for x
    x = 558,578,359,161/498,357
  6. Step 6: Final answer
    x = 1,120,839.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.