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Finding the Third Proportional to 494,295.75 and 791,191.13

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Solution

The third proportional to 494,295.75 and 791,191.13 is: 1,266,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,295.75 : 791,191.13 = 791,191.13 : x
  2. Step 2: Convert to fraction form
    494,295.75/791,191.13 = 791,191.13/x
  3. Step 3: Cross multiply
    494,295.75x = 791,191.13 × 791,191.13
  4. Step 4: Simplify right side
    494,295.75x = 625,983,396,278.77
  5. Step 5: Solve for x
    x = 625,983,396,278.77/494,295.75
  6. Step 6: Final answer
    x = 1,266,414.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.