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Finding the Third Proportional to 276,510 and 564,682

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Solution

The third proportional to 276,510 and 564,682 is: 1,153,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,510 : 564,682 = 564,682 : x
  2. Step 2: Convert to fraction form
    276,510/564,682 = 564,682/x
  3. Step 3: Cross multiply
    276,510x = 564,682 × 564,682
  4. Step 4: Simplify right side
    276,510x = 318,865,761,124
  5. Step 5: Solve for x
    x = 318,865,761,124/276,510
  6. Step 6: Final answer
    x = 1,153,179.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.