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Finding the Third Proportional to 367,082 and 567,359

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Solution

The third proportional to 367,082 and 567,359 is: 876,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082 : 567,359 = 567,359 : x
  2. Step 2: Convert to fraction form
    367,082/567,359 = 567,359/x
  3. Step 3: Cross multiply
    367,082x = 567,359 × 567,359
  4. Step 4: Simplify right side
    367,082x = 321,896,234,881
  5. Step 5: Solve for x
    x = 321,896,234,881/367,082
  6. Step 6: Final answer
    x = 876,905.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.