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Finding the Third Proportional to 424,517.63 and 576,834.75

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Solution

The third proportional to 424,517.63 and 576,834.75 is: 783,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,517.63 : 576,834.75 = 576,834.75 : x
  2. Step 2: Convert to fraction form
    424,517.63/576,834.75 = 576,834.75/x
  3. Step 3: Cross multiply
    424,517.63x = 576,834.75 × 576,834.75
  4. Step 4: Simplify right side
    424,517.63x = 332,738,328,807.56
  5. Step 5: Solve for x
    x = 332,738,328,807.56/424,517.63
  6. Step 6: Final answer
    x = 783,803.33

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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.