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Finding the Third Proportional to 368,481.38 and 801,837

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Solution

The third proportional to 368,481.38 and 801,837 is: 1,744,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,481.38 : 801,837 = 801,837 : x
  2. Step 2: Convert to fraction form
    368,481.38/801,837 = 801,837/x
  3. Step 3: Cross multiply
    368,481.38x = 801,837 × 801,837
  4. Step 4: Simplify right side
    368,481.38x = 642,942,574,569
  5. Step 5: Solve for x
    x = 642,942,574,569/368,481.38
  6. Step 6: Final answer
    x = 1,744,844.16

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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.