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Finding the Third Proportional to 279,689 and 622,522

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Solution

The third proportional to 279,689 and 622,522 is: 1,385,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,689 : 622,522 = 622,522 : x
  2. Step 2: Convert to fraction form
    279,689/622,522 = 622,522/x
  3. Step 3: Cross multiply
    279,689x = 622,522 × 622,522
  4. Step 4: Simplify right side
    279,689x = 387,533,640,484
  5. Step 5: Solve for x
    x = 387,533,640,484/279,689
  6. Step 6: Final answer
    x = 1,385,587.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.