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Finding the Third Proportional to 280,860 and 601,087

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Solution

The third proportional to 280,860 and 601,087 is: 1,286,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,860 : 601,087 = 601,087 : x
  2. Step 2: Convert to fraction form
    280,860/601,087 = 601,087/x
  3. Step 3: Cross multiply
    280,860x = 601,087 × 601,087
  4. Step 4: Simplify right side
    280,860x = 361,305,581,569
  5. Step 5: Solve for x
    x = 361,305,581,569/280,860
  6. Step 6: Final answer
    x = 1,286,425.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.