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Finding the Third Proportional to 240,468.75 and 517,114.13

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Solution

The third proportional to 240,468.75 and 517,114.13 is: 1,112,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,468.75 : 517,114.13 = 517,114.13 : x
  2. Step 2: Convert to fraction form
    240,468.75/517,114.13 = 517,114.13/x
  3. Step 3: Cross multiply
    240,468.75x = 517,114.13 × 517,114.13
  4. Step 4: Simplify right side
    240,468.75x = 267,407,018,274.52
  5. Step 5: Solve for x
    x = 267,407,018,274.52/240,468.75
  6. Step 6: Final answer
    x = 1,112,023.99

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