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Finding the Third Proportional to 332,545 and 515,897

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Solution

The third proportional to 332,545 and 515,897 is: 800,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,545 : 515,897 = 515,897 : x
  2. Step 2: Convert to fraction form
    332,545/515,897 = 515,897/x
  3. Step 3: Cross multiply
    332,545x = 515,897 × 515,897
  4. Step 4: Simplify right side
    332,545x = 266,149,714,609
  5. Step 5: Solve for x
    x = 266,149,714,609/332,545
  6. Step 6: Final answer
    x = 800,341.95

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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.