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Finding the Third Proportional to 414.28 and 886.15

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Solution

The third proportional to 414.28 and 886.15 is: 1,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 886.15 = 886.15 : x
  2. Step 2: Convert to fraction form
    414.28/886.15 = 886.15/x
  3. Step 3: Cross multiply
    414.28x = 886.15 × 886.15
  4. Step 4: Simplify right side
    414.28x = 785,259.05
  5. Step 5: Solve for x
    x = 785,259.05/414.28
  6. Step 6: Final answer
    x = 1,895.47

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1.5x scale

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.