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Finding the Third Proportional to 367,002 and 567,203

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Solution

The third proportional to 367,002 and 567,203 is: 876,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,002 : 567,203 = 567,203 : x
  2. Step 2: Convert to fraction form
    367,002/567,203 = 567,203/x
  3. Step 3: Cross multiply
    367,002x = 567,203 × 567,203
  4. Step 4: Simplify right side
    367,002x = 321,719,243,209
  5. Step 5: Solve for x
    x = 321,719,243,209/367,002
  6. Step 6: Final answer
    x = 876,614.41

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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.