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Finding the Third Proportional to 285,963.75 and 595,611.56

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Solution

The third proportional to 285,963.75 and 595,611.56 is: 1,240,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,963.75 : 595,611.56 = 595,611.56 : x
  2. Step 2: Convert to fraction form
    285,963.75/595,611.56 = 595,611.56/x
  3. Step 3: Cross multiply
    285,963.75x = 595,611.56 × 595,611.56
  4. Step 4: Simplify right side
    285,963.75x = 354,753,133,383.69
  5. Step 5: Solve for x
    x = 354,753,133,383.69/285,963.75
  6. Step 6: Final answer
    x = 1,240,552.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.