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Finding the Third Proportional to 493,700 and 747,474

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Solution

The third proportional to 493,700 and 747,474 is: 1,131,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,700 : 747,474 = 747,474 : x
  2. Step 2: Convert to fraction form
    493,700/747,474 = 747,474/x
  3. Step 3: Cross multiply
    493,700x = 747,474 × 747,474
  4. Step 4: Simplify right side
    493,700x = 558,717,380,676
  5. Step 5: Solve for x
    x = 558,717,380,676/493,700
  6. Step 6: Final answer
    x = 1,131,694.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.