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Finding the Third Proportional to 498,049 and 747,440

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Solution

The third proportional to 498,049 and 747,440 is: 1,121,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,049 : 747,440 = 747,440 : x
  2. Step 2: Convert to fraction form
    498,049/747,440 = 747,440/x
  3. Step 3: Cross multiply
    498,049x = 747,440 × 747,440
  4. Step 4: Simplify right side
    498,049x = 558,666,553,600
  5. Step 5: Solve for x
    x = 558,666,553,600/498,049
  6. Step 6: Final answer
    x = 1,121,710.02

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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.