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Finding the Third Proportional to 564.47 and 749.16

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Solution

The third proportional to 564.47 and 749.16 is: 994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 749.16 = 749.16 : x
  2. Step 2: Convert to fraction form
    564.47/749.16 = 749.16/x
  3. Step 3: Cross multiply
    564.47x = 749.16 × 749.16
  4. Step 4: Simplify right side
    564.47x = 561,235.09
  5. Step 5: Solve for x
    x = 561,235.09/564.47
  6. Step 6: Final answer
    x = 994.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.