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Finding the Third Proportional to 276,134 and 595,760

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Solution

The third proportional to 276,134 and 595,760 is: 1,285,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,134 : 595,760 = 595,760 : x
  2. Step 2: Convert to fraction form
    276,134/595,760 = 595,760/x
  3. Step 3: Cross multiply
    276,134x = 595,760 × 595,760
  4. Step 4: Simplify right side
    276,134x = 354,929,977,600
  5. Step 5: Solve for x
    x = 354,929,977,600/276,134
  6. Step 6: Final answer
    x = 1,285,354.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.