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Finding the Third Proportional to 981.28 and 1,482.47

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Solution

The third proportional to 981.28 and 1,482.47 is: 2,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.28 : 1,482.47 = 1,482.47 : x
  2. Step 2: Convert to fraction form
    981.28/1,482.47 = 1,482.47/x
  3. Step 3: Cross multiply
    981.28x = 1,482.47 × 1,482.47
  4. Step 4: Simplify right side
    981.28x = 2,197,713.59
  5. Step 5: Solve for x
    x = 2,197,713.59/981.28
  6. Step 6: Final answer
    x = 2,239.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.