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Finding the Third Proportional to 565.59 and 1,228.22

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Solution

The third proportional to 565.59 and 1,228.22 is: 2,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 1,228.22 = 1,228.22 : x
  2. Step 2: Convert to fraction form
    565.59/1,228.22 = 1,228.22/x
  3. Step 3: Cross multiply
    565.59x = 1,228.22 × 1,228.22
  4. Step 4: Simplify right side
    565.59x = 1,508,521.30
  5. Step 5: Solve for x
    x = 1,508,521.30/565.59
  6. Step 6: Final answer
    x = 2,667.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.