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Finding the Third Proportional to 366,940 and 806,232

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Solution

The third proportional to 366,940 and 806,232 is: 1,771,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,940 : 806,232 = 806,232 : x
  2. Step 2: Convert to fraction form
    366,940/806,232 = 806,232/x
  3. Step 3: Cross multiply
    366,940x = 806,232 × 806,232
  4. Step 4: Simplify right side
    366,940x = 650,010,037,824
  5. Step 5: Solve for x
    x = 650,010,037,824/366,940
  6. Step 6: Final answer
    x = 1,771,434.12

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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.