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Finding the Third Proportional to 400,532 and 812,116

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Solution

The third proportional to 400,532 and 812,116 is: 1,646,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,532 : 812,116 = 812,116 : x
  2. Step 2: Convert to fraction form
    400,532/812,116 = 812,116/x
  3. Step 3: Cross multiply
    400,532x = 812,116 × 812,116
  4. Step 4: Simplify right side
    400,532x = 659,532,397,456
  5. Step 5: Solve for x
    x = 659,532,397,456/400,532
  6. Step 6: Final answer
    x = 1,646,640.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.