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Finding the Third Proportional to 241,179 and 517,350

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Solution

The third proportional to 241,179 and 517,350 is: 1,109,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,179 : 517,350 = 517,350 : x
  2. Step 2: Convert to fraction form
    241,179/517,350 = 517,350/x
  3. Step 3: Cross multiply
    241,179x = 517,350 × 517,350
  4. Step 4: Simplify right side
    241,179x = 267,651,022,500
  5. Step 5: Solve for x
    x = 267,651,022,500/241,179
  6. Step 6: Final answer
    x = 1,109,760.89

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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.