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Finding the Third Proportional to 276.19 and 747.84

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Solution

The third proportional to 276.19 and 747.84 is: 2,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.19 : 747.84 = 747.84 : x
  2. Step 2: Convert to fraction form
    276.19/747.84 = 747.84/x
  3. Step 3: Cross multiply
    276.19x = 747.84 × 747.84
  4. Step 4: Simplify right side
    276.19x = 559,270.27
  5. Step 5: Solve for x
    x = 559,270.27/276.19
  6. Step 6: Final answer
    x = 2,024.97

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.