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Finding the Third Proportional to 564.19 and 902.53

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Solution

The third proportional to 564.19 and 902.53 is: 1,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 902.53 = 902.53 : x
  2. Step 2: Convert to fraction form
    564.19/902.53 = 902.53/x
  3. Step 3: Cross multiply
    564.19x = 902.53 × 902.53
  4. Step 4: Simplify right side
    564.19x = 814,562.66
  5. Step 5: Solve for x
    x = 814,562.66/564.19
  6. Step 6: Final answer
    x = 1,443.78

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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.