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Finding the Third Proportional to 424,500.75 and 576,811.13

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Solution

The third proportional to 424,500.75 and 576,811.13 is: 783,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,500.75 : 576,811.13 = 576,811.13 : x
  2. Step 2: Convert to fraction form
    424,500.75/576,811.13 = 576,811.13/x
  3. Step 3: Cross multiply
    424,500.75x = 576,811.13 × 576,811.13
  4. Step 4: Simplify right side
    424,500.75x = 332,711,073,923.77
  5. Step 5: Solve for x
    x = 332,711,073,923.77/424,500.75
  6. Step 6: Final answer
    x = 783,770.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.