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Finding the Third Proportional to 331,758 and 500,385

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Solution

The third proportional to 331,758 and 500,385 is: 754,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,758 : 500,385 = 500,385 : x
  2. Step 2: Convert to fraction form
    331,758/500,385 = 500,385/x
  3. Step 3: Cross multiply
    331,758x = 500,385 × 500,385
  4. Step 4: Simplify right side
    331,758x = 250,385,148,225
  5. Step 5: Solve for x
    x = 250,385,148,225/331,758
  6. Step 6: Final answer
    x = 754,722.26

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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.