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Finding the Third Proportional to 563 and 1,205.88

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Solution

The third proportional to 563 and 1,205.88 is: 2,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 1,205.88 = 1,205.88 : x
  2. Step 2: Convert to fraction form
    563/1,205.88 = 1,205.88/x
  3. Step 3: Cross multiply
    563x = 1,205.88 × 1,205.88
  4. Step 4: Simplify right side
    563x = 1,454,134.52
  5. Step 5: Solve for x
    x = 1,454,134.52/563
  6. Step 6: Final answer
    x = 2,582.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.