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Finding the Third Proportional to 288,981 and 622,674

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Solution

The third proportional to 288,981 and 622,674 is: 1,341,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,981 : 622,674 = 622,674 : x
  2. Step 2: Convert to fraction form
    288,981/622,674 = 622,674/x
  3. Step 3: Cross multiply
    288,981x = 622,674 × 622,674
  4. Step 4: Simplify right side
    288,981x = 387,722,910,276
  5. Step 5: Solve for x
    x = 387,722,910,276/288,981
  6. Step 6: Final answer
    x = 1,341,689.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.