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Finding the Third Proportional to 361,874 and 790,798

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Solution

The third proportional to 361,874 and 790,798 is: 1,728,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,874 : 790,798 = 790,798 : x
  2. Step 2: Convert to fraction form
    361,874/790,798 = 790,798/x
  3. Step 3: Cross multiply
    361,874x = 790,798 × 790,798
  4. Step 4: Simplify right side
    361,874x = 625,361,476,804
  5. Step 5: Solve for x
    x = 625,361,476,804/361,874
  6. Step 6: Final answer
    x = 1,728,119.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.