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Finding the Third Proportional to 456.84 and 990.66

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Solution

The third proportional to 456.84 and 990.66 is: 2,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 990.66 = 990.66 : x
  2. Step 2: Convert to fraction form
    456.84/990.66 = 990.66/x
  3. Step 3: Cross multiply
    456.84x = 990.66 × 990.66
  4. Step 4: Simplify right side
    456.84x = 981,399.81
  5. Step 5: Solve for x
    x = 981,399.81/456.84
  6. Step 6: Final answer
    x = 2,148.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.