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Finding the Third Proportional to 332,520 and 515,934

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Solution

The third proportional to 332,520 and 515,934 is: 800,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,520 : 515,934 = 515,934 : x
  2. Step 2: Convert to fraction form
    332,520/515,934 = 515,934/x
  3. Step 3: Cross multiply
    332,520x = 515,934 × 515,934
  4. Step 4: Simplify right side
    332,520x = 266,187,892,356
  5. Step 5: Solve for x
    x = 266,187,892,356/332,520
  6. Step 6: Final answer
    x = 800,516.94

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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.