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Finding the Third Proportional to 276,264 and 595,036

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Solution

The third proportional to 276,264 and 595,036 is: 1,281,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,264 : 595,036 = 595,036 : x
  2. Step 2: Convert to fraction form
    276,264/595,036 = 595,036/x
  3. Step 3: Cross multiply
    276,264x = 595,036 × 595,036
  4. Step 4: Simplify right side
    276,264x = 354,067,841,296
  5. Step 5: Solve for x
    x = 354,067,841,296/276,264
  6. Step 6: Final answer
    x = 1,281,628.59

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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.