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Finding the Third Proportional to 276.94 and 652.97

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Solution

The third proportional to 276.94 and 652.97 is: 1,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 652.97 = 652.97 : x
  2. Step 2: Convert to fraction form
    276.94/652.97 = 652.97/x
  3. Step 3: Cross multiply
    276.94x = 652.97 × 652.97
  4. Step 4: Simplify right side
    276.94x = 426,368.19
  5. Step 5: Solve for x
    x = 426,368.19/276.94
  6. Step 6: Final answer
    x = 1,539.58

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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.