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Finding the Third Proportional to 409.97 and 875.06

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Solution

The third proportional to 409.97 and 875.06 is: 1,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 875.06 = 875.06 : x
  2. Step 2: Convert to fraction form
    409.97/875.06 = 875.06/x
  3. Step 3: Cross multiply
    409.97x = 875.06 × 875.06
  4. Step 4: Simplify right side
    409.97x = 765,734.38
  5. Step 5: Solve for x
    x = 765,734.38/409.97
  6. Step 6: Final answer
    x = 1,867.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.