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Finding the Third Proportional to 237,913 and 517,298

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Solution

The third proportional to 237,913 and 517,298 is: 1,124,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,913 : 517,298 = 517,298 : x
  2. Step 2: Convert to fraction form
    237,913/517,298 = 517,298/x
  3. Step 3: Cross multiply
    237,913x = 517,298 × 517,298
  4. Step 4: Simplify right side
    237,913x = 267,597,220,804
  5. Step 5: Solve for x
    x = 267,597,220,804/237,913
  6. Step 6: Final answer
    x = 1,124,769.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.