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Finding the Third Proportional to 367,034 and 567,279

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Solution

The third proportional to 367,034 and 567,279 is: 876,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,034 : 567,279 = 567,279 : x
  2. Step 2: Convert to fraction form
    367,034/567,279 = 567,279/x
  3. Step 3: Cross multiply
    367,034x = 567,279 × 567,279
  4. Step 4: Simplify right side
    367,034x = 321,805,463,841
  5. Step 5: Solve for x
    x = 321,805,463,841/367,034
  6. Step 6: Final answer
    x = 876,772.90

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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.