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Finding the Third Proportional to 367,066 and 567,287

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Solution

The third proportional to 367,066 and 567,287 is: 876,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,066 : 567,287 = 567,287 : x
  2. Step 2: Convert to fraction form
    367,066/567,287 = 567,287/x
  3. Step 3: Cross multiply
    367,066x = 567,287 × 567,287
  4. Step 4: Simplify right side
    367,066x = 321,814,540,369
  5. Step 5: Solve for x
    x = 321,814,540,369/367,066
  6. Step 6: Final answer
    x = 876,721.19

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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.