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Finding the Third Proportional to 240,414 and 514,181

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Solution

The third proportional to 240,414 and 514,181 is: 1,099,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,414 : 514,181 = 514,181 : x
  2. Step 2: Convert to fraction form
    240,414/514,181 = 514,181/x
  3. Step 3: Cross multiply
    240,414x = 514,181 × 514,181
  4. Step 4: Simplify right side
    240,414x = 264,382,100,761
  5. Step 5: Solve for x
    x = 264,382,100,761/240,414
  6. Step 6: Final answer
    x = 1,099,695.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.