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Finding the Third Proportional to 361,920 and 475,922

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Solution

The third proportional to 361,920 and 475,922 is: 625,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,920 : 475,922 = 475,922 : x
  2. Step 2: Convert to fraction form
    361,920/475,922 = 475,922/x
  3. Step 3: Cross multiply
    361,920x = 475,922 × 475,922
  4. Step 4: Simplify right side
    361,920x = 226,501,750,084
  5. Step 5: Solve for x
    x = 226,501,750,084/361,920
  6. Step 6: Final answer
    x = 625,833.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.