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Finding the Third Proportional to 414.84 and 779.06

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Solution

The third proportional to 414.84 and 779.06 is: 1,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 779.06 = 779.06 : x
  2. Step 2: Convert to fraction form
    414.84/779.06 = 779.06/x
  3. Step 3: Cross multiply
    414.84x = 779.06 × 779.06
  4. Step 4: Simplify right side
    414.84x = 606,938.38
  5. Step 5: Solve for x
    x = 606,938.38/414.84
  6. Step 6: Final answer
    x = 1,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.