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Finding the Third Proportional to 1,042.88 and 1,520.72

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Solution

The third proportional to 1,042.88 and 1,520.72 is: 2,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.88 : 1,520.72 = 1,520.72 : x
  2. Step 2: Convert to fraction form
    1,042.88/1,520.72 = 1,520.72/x
  3. Step 3: Cross multiply
    1,042.88x = 1,520.72 × 1,520.72
  4. Step 4: Simplify right side
    1,042.88x = 2,312,585.52
  5. Step 5: Solve for x
    x = 2,312,585.52/1,042.88
  6. Step 6: Final answer
    x = 2,217.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.