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Finding the Third Proportional to 414.94 and 652.78

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Solution

The third proportional to 414.94 and 652.78 is: 1,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 652.78 = 652.78 : x
  2. Step 2: Convert to fraction form
    414.94/652.78 = 652.78/x
  3. Step 3: Cross multiply
    414.94x = 652.78 × 652.78
  4. Step 4: Simplify right side
    414.94x = 426,123.36
  5. Step 5: Solve for x
    x = 426,123.36/414.94
  6. Step 6: Final answer
    x = 1,026.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.