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Finding the Third Proportional to 276,125.84 and 595,820.81

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Solution

The third proportional to 276,125.84 and 595,820.81 is: 1,285,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,125.84 : 595,820.81 = 595,820.81 : x
  2. Step 2: Convert to fraction form
    276,125.84/595,820.81 = 595,820.81/x
  3. Step 3: Cross multiply
    276,125.84x = 595,820.81 × 595,820.81
  4. Step 4: Simplify right side
    276,125.84x = 355,002,440,608.16
  5. Step 5: Solve for x
    x = 355,002,440,608.16/276,125.84
  6. Step 6: Final answer
    x = 1,285,654.56

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Why These Related Problems?

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