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Finding the Third Proportional to 564.19 and 960.19

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Solution

The third proportional to 564.19 and 960.19 is: 1,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 960.19 = 960.19 : x
  2. Step 2: Convert to fraction form
    564.19/960.19 = 960.19/x
  3. Step 3: Cross multiply
    564.19x = 960.19 × 960.19
  4. Step 4: Simplify right side
    564.19x = 921,960.04
  5. Step 5: Solve for x
    x = 921,960.04/564.19
  6. Step 6: Final answer
    x = 1,634.14

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.