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Finding the Third Proportional to 564.75 and 968.63

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Solution

The third proportional to 564.75 and 968.63 is: 1,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 968.63 = 968.63 : x
  2. Step 2: Convert to fraction form
    564.75/968.63 = 968.63/x
  3. Step 3: Cross multiply
    564.75x = 968.63 × 968.63
  4. Step 4: Simplify right side
    564.75x = 938,234.39
  5. Step 5: Solve for x
    x = 938,234.39/564.75
  6. Step 6: Final answer
    x = 1,661.33

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.