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Finding the Third Proportional to 414.47 and 885.84

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Solution

The third proportional to 414.47 and 885.84 is: 1,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.47 : 885.84 = 885.84 : x
  2. Step 2: Convert to fraction form
    414.47/885.84 = 885.84/x
  3. Step 3: Cross multiply
    414.47x = 885.84 × 885.84
  4. Step 4: Simplify right side
    414.47x = 784,719.15
  5. Step 5: Solve for x
    x = 784,719.15/414.47
  6. Step 6: Final answer
    x = 1,893.31

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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.