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Finding the Third Proportional to 564 and 856.88

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Solution

The third proportional to 564 and 856.88 is: 1,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 856.88 = 856.88 : x
  2. Step 2: Convert to fraction form
    564/856.88 = 856.88/x
  3. Step 3: Cross multiply
    564x = 856.88 × 856.88
  4. Step 4: Simplify right side
    564x = 734,234.77
  5. Step 5: Solve for x
    x = 734,234.77/564
  6. Step 6: Final answer
    x = 1,301.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.