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Finding the Third Proportional to 368,246 and 806,782

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Solution

The third proportional to 368,246 and 806,782 is: 1,767,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,246 : 806,782 = 806,782 : x
  2. Step 2: Convert to fraction form
    368,246/806,782 = 806,782/x
  3. Step 3: Cross multiply
    368,246x = 806,782 × 806,782
  4. Step 4: Simplify right side
    368,246x = 650,897,195,524
  5. Step 5: Solve for x
    x = 650,897,195,524/368,246
  6. Step 6: Final answer
    x = 1,767,560.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.