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Finding the Third Proportional to 364,400 and 799,000

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Solution

The third proportional to 364,400 and 799,000 is: 1,751,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,400 : 799,000 = 799,000 : x
  2. Step 2: Convert to fraction form
    364,400/799,000 = 799,000/x
  3. Step 3: Cross multiply
    364,400x = 799,000 × 799,000
  4. Step 4: Simplify right side
    364,400x = 638,401,000,000
  5. Step 5: Solve for x
    x = 638,401,000,000/364,400
  6. Step 6: Final answer
    x = 1,751,923.71

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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.