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Finding the Third Proportional to 414.88 and 856.13

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Solution

The third proportional to 414.88 and 856.13 is: 1,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 856.13 = 856.13 : x
  2. Step 2: Convert to fraction form
    414.88/856.13 = 856.13/x
  3. Step 3: Cross multiply
    414.88x = 856.13 × 856.13
  4. Step 4: Simplify right side
    414.88x = 732,950.02
  5. Step 5: Solve for x
    x = 732,950.02/414.88
  6. Step 6: Final answer
    x = 1,766.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.