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Finding the Third Proportional to 269,467.38 and 586,775.39

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Solution

The third proportional to 269,467.38 and 586,775.39 is: 1,277,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,467.38 : 586,775.39 = 586,775.39 : x
  2. Step 2: Convert to fraction form
    269,467.38/586,775.39 = 586,775.39/x
  3. Step 3: Cross multiply
    269,467.38x = 586,775.39 × 586,775.39
  4. Step 4: Simplify right side
    269,467.38x = 344,305,359,043.12
  5. Step 5: Solve for x
    x = 344,305,359,043.12/269,467.38
  6. Step 6: Final answer
    x = 1,277,725.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.