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Finding the Third Proportional to 424,341 and 576,635

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Solution

The third proportional to 424,341 and 576,635 is: 783,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,341 : 576,635 = 576,635 : x
  2. Step 2: Convert to fraction form
    424,341/576,635 = 576,635/x
  3. Step 3: Cross multiply
    424,341x = 576,635 × 576,635
  4. Step 4: Simplify right side
    424,341x = 332,507,923,225
  5. Step 5: Solve for x
    x = 332,507,923,225/424,341
  6. Step 6: Final answer
    x = 783,586.60

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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.