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Finding the Third Proportional to 331,518 and 500,034

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Solution

The third proportional to 331,518 and 500,034 is: 754,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,518 : 500,034 = 500,034 : x
  2. Step 2: Convert to fraction form
    331,518/500,034 = 500,034/x
  3. Step 3: Cross multiply
    331,518x = 500,034 × 500,034
  4. Step 4: Simplify right side
    331,518x = 250,034,001,156
  5. Step 5: Solve for x
    x = 250,034,001,156/331,518
  6. Step 6: Final answer
    x = 754,209.43

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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.