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Finding the Third Proportional to 366,885 and 801,020

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Solution

The third proportional to 366,885 and 801,020 is: 1,748,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,885 : 801,020 = 801,020 : x
  2. Step 2: Convert to fraction form
    366,885/801,020 = 801,020/x
  3. Step 3: Cross multiply
    366,885x = 801,020 × 801,020
  4. Step 4: Simplify right side
    366,885x = 641,633,040,400
  5. Step 5: Solve for x
    x = 641,633,040,400/366,885
  6. Step 6: Final answer
    x = 1,748,866.92

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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.