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Finding the Third Proportional to 416,952 and 813,164

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Solution

The third proportional to 416,952 and 813,164 is: 1,585,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,952 : 813,164 = 813,164 : x
  2. Step 2: Convert to fraction form
    416,952/813,164 = 813,164/x
  3. Step 3: Cross multiply
    416,952x = 813,164 × 813,164
  4. Step 4: Simplify right side
    416,952x = 661,235,690,896
  5. Step 5: Solve for x
    x = 661,235,690,896/416,952
  6. Step 6: Final answer
    x = 1,585,879.65

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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.