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Finding the Third Proportional to 361,830 and 531,897

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Solution

The third proportional to 361,830 and 531,897 is: 781,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,830 : 531,897 = 531,897 : x
  2. Step 2: Convert to fraction form
    361,830/531,897 = 531,897/x
  3. Step 3: Cross multiply
    361,830x = 531,897 × 531,897
  4. Step 4: Simplify right side
    361,830x = 282,914,418,609
  5. Step 5: Solve for x
    x = 282,914,418,609/361,830
  6. Step 6: Final answer
    x = 781,898.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.