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Finding the Third Proportional to 331,737 and 500,355

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Solution

The third proportional to 331,737 and 500,355 is: 754,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,737 : 500,355 = 500,355 : x
  2. Step 2: Convert to fraction form
    331,737/500,355 = 500,355/x
  3. Step 3: Cross multiply
    331,737x = 500,355 × 500,355
  4. Step 4: Simplify right side
    331,737x = 250,355,126,025
  5. Step 5: Solve for x
    x = 250,355,126,025/331,737
  6. Step 6: Final answer
    x = 754,679.54

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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.