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Finding the Third Proportional to 332,506 and 502,251

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Solution

The third proportional to 332,506 and 502,251 is: 758,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,506 : 502,251 = 502,251 : x
  2. Step 2: Convert to fraction form
    332,506/502,251 = 502,251/x
  3. Step 3: Cross multiply
    332,506x = 502,251 × 502,251
  4. Step 4: Simplify right side
    332,506x = 252,256,067,001
  5. Step 5: Solve for x
    x = 252,256,067,001/332,506
  6. Step 6: Final answer
    x = 758,651.17

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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.