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Finding the Third Proportional to 270,982.97 and 402,544.69

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Solution

The third proportional to 270,982.97 and 402,544.69 is: 597,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,982.97 : 402,544.69 = 402,544.69 : x
  2. Step 2: Convert to fraction form
    270,982.97/402,544.69 = 402,544.69/x
  3. Step 3: Cross multiply
    270,982.97x = 402,544.69 × 402,544.69
  4. Step 4: Simplify right side
    270,982.97x = 162,042,225,434.47
  5. Step 5: Solve for x
    x = 162,042,225,434.47/270,982.97
  6. Step 6: Final answer
    x = 597,979.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.