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Finding the Third Proportional to 363,508 and 799,208

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Solution

The third proportional to 363,508 and 799,208 is: 1,757,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,508 : 799,208 = 799,208 : x
  2. Step 2: Convert to fraction form
    363,508/799,208 = 799,208/x
  3. Step 3: Cross multiply
    363,508x = 799,208 × 799,208
  4. Step 4: Simplify right side
    363,508x = 638,733,427,264
  5. Step 5: Solve for x
    x = 638,733,427,264/363,508
  6. Step 6: Final answer
    x = 1,757,137.19

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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.