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Finding the Third Proportional to 276.54 and 652.43

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Solution

The third proportional to 276.54 and 652.43 is: 1,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.54 : 652.43 = 652.43 : x
  2. Step 2: Convert to fraction form
    276.54/652.43 = 652.43/x
  3. Step 3: Cross multiply
    276.54x = 652.43 × 652.43
  4. Step 4: Simplify right side
    276.54x = 425,664.50
  5. Step 5: Solve for x
    x = 425,664.50/276.54
  6. Step 6: Final answer
    x = 1,539.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.