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Finding the Third Proportional to 369,110.25 and 527,826.38

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Solution

The third proportional to 369,110.25 and 527,826.38 is: 754,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,110.25 : 527,826.38 = 527,826.38 : x
  2. Step 2: Convert to fraction form
    369,110.25/527,826.38 = 527,826.38/x
  3. Step 3: Cross multiply
    369,110.25x = 527,826.38 × 527,826.38
  4. Step 4: Simplify right side
    369,110.25x = 278,600,682,145.64
  5. Step 5: Solve for x
    x = 278,600,682,145.64/369,110.25
  6. Step 6: Final answer
    x = 754,789.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.