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Finding the Third Proportional to 407,660 and 833,452

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Solution

The third proportional to 407,660 and 833,452 is: 1,703,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,660 : 833,452 = 833,452 : x
  2. Step 2: Convert to fraction form
    407,660/833,452 = 833,452/x
  3. Step 3: Cross multiply
    407,660x = 833,452 × 833,452
  4. Step 4: Simplify right side
    407,660x = 694,642,236,304
  5. Step 5: Solve for x
    x = 694,642,236,304/407,660
  6. Step 6: Final answer
    x = 1,703,974.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.