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Finding the Third Proportional to 564.16 and 1,359.14

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Solution

The third proportional to 564.16 and 1,359.14 is: 3,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 1,359.14 = 1,359.14 : x
  2. Step 2: Convert to fraction form
    564.16/1,359.14 = 1,359.14/x
  3. Step 3: Cross multiply
    564.16x = 1,359.14 × 1,359.14
  4. Step 4: Simplify right side
    564.16x = 1,847,263.24
  5. Step 5: Solve for x
    x = 1,847,263.24/564.16
  6. Step 6: Final answer
    x = 3,274.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.