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Finding the Third Proportional to 332,310 and 502,432

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Solution

The third proportional to 332,310 and 502,432 is: 759,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,310 : 502,432 = 502,432 : x
  2. Step 2: Convert to fraction form
    332,310/502,432 = 502,432/x
  3. Step 3: Cross multiply
    332,310x = 502,432 × 502,432
  4. Step 4: Simplify right side
    332,310x = 252,437,914,624
  5. Step 5: Solve for x
    x = 252,437,914,624/332,310
  6. Step 6: Final answer
    x = 759,645.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.