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Finding the Third Proportional to 241,164 and 517,320

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Solution

The third proportional to 241,164 and 517,320 is: 1,109,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,164 : 517,320 = 517,320 : x
  2. Step 2: Convert to fraction form
    241,164/517,320 = 517,320/x
  3. Step 3: Cross multiply
    241,164x = 517,320 × 517,320
  4. Step 4: Simplify right side
    241,164x = 267,619,982,400
  5. Step 5: Solve for x
    x = 267,619,982,400/241,164
  6. Step 6: Final answer
    x = 1,109,701.21

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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.