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Finding the Third Proportional to 281,892 and 587,040

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Solution

The third proportional to 281,892 and 587,040 is: 1,222,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,892 : 587,040 = 587,040 : x
  2. Step 2: Convert to fraction form
    281,892/587,040 = 587,040/x
  3. Step 3: Cross multiply
    281,892x = 587,040 × 587,040
  4. Step 4: Simplify right side
    281,892x = 344,615,961,600
  5. Step 5: Solve for x
    x = 344,615,961,600/281,892
  6. Step 6: Final answer
    x = 1,222,510.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.