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Finding the Third Proportional to 237,082 and 516,770

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Solution

The third proportional to 237,082 and 516,770 is: 1,126,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,082 : 516,770 = 516,770 : x
  2. Step 2: Convert to fraction form
    237,082/516,770 = 516,770/x
  3. Step 3: Cross multiply
    237,082x = 516,770 × 516,770
  4. Step 4: Simplify right side
    237,082x = 267,051,232,900
  5. Step 5: Solve for x
    x = 267,051,232,900/237,082
  6. Step 6: Final answer
    x = 1,126,408.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.