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Finding the Third Proportional to 576.56 and 1,248.19

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Solution

The third proportional to 576.56 and 1,248.19 is: 2,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 1,248.19 = 1,248.19 : x
  2. Step 2: Convert to fraction form
    576.56/1,248.19 = 1,248.19/x
  3. Step 3: Cross multiply
    576.56x = 1,248.19 × 1,248.19
  4. Step 4: Simplify right side
    576.56x = 1,557,972.04
  5. Step 5: Solve for x
    x = 1,557,972.04/576.56
  6. Step 6: Final answer
    x = 2,702.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.