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Finding the Third Proportional to 240,046.50 and 517,272

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Solution

The third proportional to 240,046.50 and 517,272 is: 1,114,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,046.50 : 517,272 = 517,272 : x
  2. Step 2: Convert to fraction form
    240,046.50/517,272 = 517,272/x
  3. Step 3: Cross multiply
    240,046.50x = 517,272 × 517,272
  4. Step 4: Simplify right side
    240,046.50x = 267,570,321,984
  5. Step 5: Solve for x
    x = 267,570,321,984/240,046.50
  6. Step 6: Final answer
    x = 1,114,660.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.