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Finding the Third Proportional to 564.50 and 905.50

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Solution

The third proportional to 564.50 and 905.50 is: 1,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.50 : 905.50 = 905.50 : x
  2. Step 2: Convert to fraction form
    564.50/905.50 = 905.50/x
  3. Step 3: Cross multiply
    564.50x = 905.50 × 905.50
  4. Step 4: Simplify right side
    564.50x = 819,930.25
  5. Step 5: Solve for x
    x = 819,930.25/564.50
  6. Step 6: Final answer
    x = 1,452.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.