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Finding the Third Proportional to 363,506 and 799,204

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Solution

The third proportional to 363,506 and 799,204 is: 1,757,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,506 : 799,204 = 799,204 : x
  2. Step 2: Convert to fraction form
    363,506/799,204 = 799,204/x
  3. Step 3: Cross multiply
    363,506x = 799,204 × 799,204
  4. Step 4: Simplify right side
    363,506x = 638,727,033,616
  5. Step 5: Solve for x
    x = 638,727,033,616/363,506
  6. Step 6: Final answer
    x = 1,757,129.27

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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.