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Finding the Third Proportional to 1,323.84 and 1,489.22

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Solution

The third proportional to 1,323.84 and 1,489.22 is: 1,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 1,489.22 = 1,489.22 : x
  2. Step 2: Convert to fraction form
    1,323.84/1,489.22 = 1,489.22/x
  3. Step 3: Cross multiply
    1,323.84x = 1,489.22 × 1,489.22
  4. Step 4: Simplify right side
    1,323.84x = 2,217,772.49
  5. Step 5: Solve for x
    x = 2,217,772.49/1,323.84
  6. Step 6: Final answer
    x = 1,675.25

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.