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Finding the Third Proportional to 1,452.94 and 1,818.28

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Solution

The third proportional to 1,452.94 and 1,818.28 is: 2,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.94 : 1,818.28 = 1,818.28 : x
  2. Step 2: Convert to fraction form
    1,452.94/1,818.28 = 1,818.28/x
  3. Step 3: Cross multiply
    1,452.94x = 1,818.28 × 1,818.28
  4. Step 4: Simplify right side
    1,452.94x = 3,306,146.70
  5. Step 5: Solve for x
    x = 3,306,146.70/1,452.94
  6. Step 6: Final answer
    x = 2,275.49

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.