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Finding the Third Proportional to 489.38 and 1,066.50

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Solution

The third proportional to 489.38 and 1,066.50 is: 2,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 1,066.50 = 1,066.50 : x
  2. Step 2: Convert to fraction form
    489.38/1,066.50 = 1,066.50/x
  3. Step 3: Cross multiply
    489.38x = 1,066.50 × 1,066.50
  4. Step 4: Simplify right side
    489.38x = 1,137,422.25
  5. Step 5: Solve for x
    x = 1,137,422.25/489.38
  6. Step 6: Final answer
    x = 2,324.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.