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Finding the Third Proportional to 494,586 and 746,496

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Solution

The third proportional to 494,586 and 746,496 is: 1,126,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,586 : 746,496 = 746,496 : x
  2. Step 2: Convert to fraction form
    494,586/746,496 = 746,496/x
  3. Step 3: Cross multiply
    494,586x = 746,496 × 746,496
  4. Step 4: Simplify right side
    494,586x = 557,256,278,016
  5. Step 5: Solve for x
    x = 557,256,278,016/494,586
  6. Step 6: Final answer
    x = 1,126,712.60

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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.