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Finding the Third Proportional to 565.88 and 1,201.78

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Solution

The third proportional to 565.88 and 1,201.78 is: 2,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 1,201.78 = 1,201.78 : x
  2. Step 2: Convert to fraction form
    565.88/1,201.78 = 1,201.78/x
  3. Step 3: Cross multiply
    565.88x = 1,201.78 × 1,201.78
  4. Step 4: Simplify right side
    565.88x = 1,444,278.17
  5. Step 5: Solve for x
    x = 1,444,278.17/565.88
  6. Step 6: Final answer
    x = 2,552.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.