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Finding the Third Proportional to 569.95 and 1,251.28

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Solution

The third proportional to 569.95 and 1,251.28 is: 2,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 1,251.28 = 1,251.28 : x
  2. Step 2: Convert to fraction form
    569.95/1,251.28 = 1,251.28/x
  3. Step 3: Cross multiply
    569.95x = 1,251.28 × 1,251.28
  4. Step 4: Simplify right side
    569.95x = 1,565,704.77
  5. Step 5: Solve for x
    x = 1,565,704.77/569.95
  6. Step 6: Final answer
    x = 2,747.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.