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Finding the Third Proportional to 267,143.06 and 576,909.84

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Solution

The third proportional to 267,143.06 and 576,909.84 is: 1,245,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,143.06 : 576,909.84 = 576,909.84 : x
  2. Step 2: Convert to fraction form
    267,143.06/576,909.84 = 576,909.84/x
  3. Step 3: Cross multiply
    267,143.06x = 576,909.84 × 576,909.84
  4. Step 4: Simplify right side
    267,143.06x = 332,824,967,815.65
  5. Step 5: Solve for x
    x = 332,824,967,815.65/267,143.06
  6. Step 6: Final answer
    x = 1,245,867.91

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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.