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Finding the Third Proportional to 240,691.50 and 519,493.50

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Solution

The third proportional to 240,691.50 and 519,493.50 is: 1,121,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,691.50 : 519,493.50 = 519,493.50 : x
  2. Step 2: Convert to fraction form
    240,691.50/519,493.50 = 519,493.50/x
  3. Step 3: Cross multiply
    240,691.50x = 519,493.50 × 519,493.50
  4. Step 4: Simplify right side
    240,691.50x = 269,873,496,542.25
  5. Step 5: Solve for x
    x = 269,873,496,542.25/240,691.50
  6. Step 6: Final answer
    x = 1,121,242.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.