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Finding the Third Proportional to 366,934 and 806,220

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Solution

The third proportional to 366,934 and 806,220 is: 1,771,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,934 : 806,220 = 806,220 : x
  2. Step 2: Convert to fraction form
    366,934/806,220 = 806,220/x
  3. Step 3: Cross multiply
    366,934x = 806,220 × 806,220
  4. Step 4: Simplify right side
    366,934x = 649,990,688,400
  5. Step 5: Solve for x
    x = 649,990,688,400/366,934
  6. Step 6: Final answer
    x = 1,771,410.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.