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Finding the Third Proportional to 253,734.75 and 547,134.75

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Solution

The third proportional to 253,734.75 and 547,134.75 is: 1,179,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,734.75 : 547,134.75 = 547,134.75 : x
  2. Step 2: Convert to fraction form
    253,734.75/547,134.75 = 547,134.75/x
  3. Step 3: Cross multiply
    253,734.75x = 547,134.75 × 547,134.75
  4. Step 4: Simplify right side
    253,734.75x = 299,356,434,657.56
  5. Step 5: Solve for x
    x = 299,356,434,657.56/253,734.75
  6. Step 6: Final answer
    x = 1,179,800.70

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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.