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Finding the Third Proportional to 602,032.50 and 819,996.75

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Solution

The third proportional to 602,032.50 and 819,996.75 is: 1,116,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,032.50 : 819,996.75 = 819,996.75 : x
  2. Step 2: Convert to fraction form
    602,032.50/819,996.75 = 819,996.75/x
  3. Step 3: Cross multiply
    602,032.50x = 819,996.75 × 819,996.75
  4. Step 4: Simplify right side
    602,032.50x = 672,394,670,010.56
  5. Step 5: Solve for x
    x = 672,394,670,010.56/602,032.50
  6. Step 6: Final answer
    x = 1,116,874.37

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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.