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Finding the Third Proportional to 231,909.33 and 503,475.12

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Solution

The third proportional to 231,909.33 and 503,475.12 is: 1,093,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,909.33 : 503,475.12 = 503,475.12 : x
  2. Step 2: Convert to fraction form
    231,909.33/503,475.12 = 503,475.12/x
  3. Step 3: Cross multiply
    231,909.33x = 503,475.12 × 503,475.12
  4. Step 4: Simplify right side
    231,909.33x = 253,487,193,626.97
  5. Step 5: Solve for x
    x = 253,487,193,626.97/231,909.33
  6. Step 6: Final answer
    x = 1,093,044.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.