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Finding the Third Proportional to 361,898 and 790,846

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Solution

The third proportional to 361,898 and 790,846 is: 1,728,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,898 : 790,846 = 790,846 : x
  2. Step 2: Convert to fraction form
    361,898/790,846 = 790,846/x
  3. Step 3: Cross multiply
    361,898x = 790,846 × 790,846
  4. Step 4: Simplify right side
    361,898x = 625,437,395,716
  5. Step 5: Solve for x
    x = 625,437,395,716/361,898
  6. Step 6: Final answer
    x = 1,728,214.57

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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.