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Finding the Third Proportional to 564.13 and 852.19

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Solution

The third proportional to 564.13 and 852.19 is: 1,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.13 : 852.19 = 852.19 : x
  2. Step 2: Convert to fraction form
    564.13/852.19 = 852.19/x
  3. Step 3: Cross multiply
    564.13x = 852.19 × 852.19
  4. Step 4: Simplify right side
    564.13x = 726,223.54
  5. Step 5: Solve for x
    x = 726,223.54/564.13
  6. Step 6: Final answer
    x = 1,287.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.