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Finding the Third Proportional to 564.75 and 657.28

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Solution

The third proportional to 564.75 and 657.28 is: 764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 657.28 = 657.28 : x
  2. Step 2: Convert to fraction form
    564.75/657.28 = 657.28/x
  3. Step 3: Cross multiply
    564.75x = 657.28 × 657.28
  4. Step 4: Simplify right side
    564.75x = 432,018.64
  5. Step 5: Solve for x
    x = 432,018.64/564.75
  6. Step 6: Final answer
    x = 764.97

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.