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Finding the Third Proportional to 564.75 and 1,228.78

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Solution

The third proportional to 564.75 and 1,228.78 is: 2,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 1,228.78 = 1,228.78 : x
  2. Step 2: Convert to fraction form
    564.75/1,228.78 = 1,228.78/x
  3. Step 3: Cross multiply
    564.75x = 1,228.78 × 1,228.78
  4. Step 4: Simplify right side
    564.75x = 1,509,903.36
  5. Step 5: Solve for x
    x = 1,509,903.36/564.75
  6. Step 6: Final answer
    x = 2,673.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.