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Finding the Third Proportional to 231,801.75 and 488,926.13

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Solution

The third proportional to 231,801.75 and 488,926.13 is: 1,031,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,801.75 : 488,926.13 = 488,926.13 : x
  2. Step 2: Convert to fraction form
    231,801.75/488,926.13 = 488,926.13/x
  3. Step 3: Cross multiply
    231,801.75x = 488,926.13 × 488,926.13
  4. Step 4: Simplify right side
    231,801.75x = 239,048,755,707.52
  5. Step 5: Solve for x
    x = 239,048,755,707.52/231,801.75
  6. Step 6: Final answer
    x = 1,031,263.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.