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Finding the Third Proportional to 332,510 and 515,919

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Solution

The third proportional to 332,510 and 515,919 is: 800,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,510 : 515,919 = 515,919 : x
  2. Step 2: Convert to fraction form
    332,510/515,919 = 515,919/x
  3. Step 3: Cross multiply
    332,510x = 515,919 × 515,919
  4. Step 4: Simplify right side
    332,510x = 266,172,414,561
  5. Step 5: Solve for x
    x = 266,172,414,561/332,510
  6. Step 6: Final answer
    x = 800,494.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.