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Finding the Third Proportional to 276,272 and 595,052

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Solution

The third proportional to 276,272 and 595,052 is: 1,281,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,272 : 595,052 = 595,052 : x
  2. Step 2: Convert to fraction form
    276,272/595,052 = 595,052/x
  3. Step 3: Cross multiply
    276,272x = 595,052 × 595,052
  4. Step 4: Simplify right side
    276,272x = 354,086,882,704
  5. Step 5: Solve for x
    x = 354,086,882,704/276,272
  6. Step 6: Final answer
    x = 1,281,660.40

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Why These Related Problems?

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