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Finding the Third Proportional to 990.38 and 1,414.69

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Solution

The third proportional to 990.38 and 1,414.69 is: 2,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.38 : 1,414.69 = 1,414.69 : x
  2. Step 2: Convert to fraction form
    990.38/1,414.69 = 1,414.69/x
  3. Step 3: Cross multiply
    990.38x = 1,414.69 × 1,414.69
  4. Step 4: Simplify right side
    990.38x = 2,001,340.72
  5. Step 5: Solve for x
    x = 2,001,340.72/990.38
  6. Step 6: Final answer
    x = 2,020.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.