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Finding the Third Proportional to 564.75 and 946.97

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Solution

The third proportional to 564.75 and 946.97 is: 1,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 946.97 = 946.97 : x
  2. Step 2: Convert to fraction form
    564.75/946.97 = 946.97/x
  3. Step 3: Cross multiply
    564.75x = 946.97 × 946.97
  4. Step 4: Simplify right side
    564.75x = 896,749.81
  5. Step 5: Solve for x
    x = 896,749.81/564.75
  6. Step 6: Final answer
    x = 1,587.87

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.