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Finding the Third Proportional to 416,934 and 813,132

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Solution

The third proportional to 416,934 and 813,132 is: 1,585,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,934 : 813,132 = 813,132 : x
  2. Step 2: Convert to fraction form
    416,934/813,132 = 813,132/x
  3. Step 3: Cross multiply
    416,934x = 813,132 × 813,132
  4. Step 4: Simplify right side
    416,934x = 661,183,649,424
  5. Step 5: Solve for x
    x = 661,183,649,424/416,934
  6. Step 6: Final answer
    x = 1,585,823.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.