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Finding the Third Proportional to 262,892 and 567,180

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Solution

The third proportional to 262,892 and 567,180 is: 1,223,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,892 : 567,180 = 567,180 : x
  2. Step 2: Convert to fraction form
    262,892/567,180 = 567,180/x
  3. Step 3: Cross multiply
    262,892x = 567,180 × 567,180
  4. Step 4: Simplify right side
    262,892x = 321,693,152,400
  5. Step 5: Solve for x
    x = 321,693,152,400/262,892
  6. Step 6: Final answer
    x = 1,223,670.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.