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Finding the Third Proportional to 276,000 and 593,472

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Solution

The third proportional to 276,000 and 593,472 is: 1,276,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,000 : 593,472 = 593,472 : x
  2. Step 2: Convert to fraction form
    276,000/593,472 = 593,472/x
  3. Step 3: Cross multiply
    276,000x = 593,472 × 593,472
  4. Step 4: Simplify right side
    276,000x = 352,209,014,784
  5. Step 5: Solve for x
    x = 352,209,014,784/276,000
  6. Step 6: Final answer
    x = 1,276,119.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.