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Finding the Third Proportional to 528.19 and 1,270.88

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Solution

The third proportional to 528.19 and 1,270.88 is: 3,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.19 : 1,270.88 = 1,270.88 : x
  2. Step 2: Convert to fraction form
    528.19/1,270.88 = 1,270.88/x
  3. Step 3: Cross multiply
    528.19x = 1,270.88 × 1,270.88
  4. Step 4: Simplify right side
    528.19x = 1,615,123.27
  5. Step 5: Solve for x
    x = 1,615,123.27/528.19
  6. Step 6: Final answer
    x = 3,057.86

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.