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Finding the Third Proportional to 237,969 and 517,410

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Solution

The third proportional to 237,969 and 517,410 is: 1,124,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,969 : 517,410 = 517,410 : x
  2. Step 2: Convert to fraction form
    237,969/517,410 = 517,410/x
  3. Step 3: Cross multiply
    237,969x = 517,410 × 517,410
  4. Step 4: Simplify right side
    237,969x = 267,713,108,100
  5. Step 5: Solve for x
    x = 267,713,108,100/237,969
  6. Step 6: Final answer
    x = 1,124,991.52

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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.