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Finding the Third Proportional to 241,184 and 517,358

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Solution

The third proportional to 241,184 and 517,358 is: 1,109,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,184 : 517,358 = 517,358 : x
  2. Step 2: Convert to fraction form
    241,184/517,358 = 517,358/x
  3. Step 3: Cross multiply
    241,184x = 517,358 × 517,358
  4. Step 4: Simplify right side
    241,184x = 267,659,300,164
  5. Step 5: Solve for x
    x = 267,659,300,164/241,184
  6. Step 6: Final answer
    x = 1,109,772.21

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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.