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Finding the Third Proportional to 564.75 and 1,017.28

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Solution

The third proportional to 564.75 and 1,017.28 is: 1,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 1,017.28 = 1,017.28 : x
  2. Step 2: Convert to fraction form
    564.75/1,017.28 = 1,017.28/x
  3. Step 3: Cross multiply
    564.75x = 1,017.28 × 1,017.28
  4. Step 4: Simplify right side
    564.75x = 1,034,861.14
  5. Step 5: Solve for x
    x = 1,034,861.14/564.75
  6. Step 6: Final answer
    x = 1,832.42

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.