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Finding the Third Proportional to 373,202 and 799,647

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Solution

The third proportional to 373,202 and 799,647 is: 1,713,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,202 : 799,647 = 799,647 : x
  2. Step 2: Convert to fraction form
    373,202/799,647 = 799,647/x
  3. Step 3: Cross multiply
    373,202x = 799,647 × 799,647
  4. Step 4: Simplify right side
    373,202x = 639,435,324,609
  5. Step 5: Solve for x
    x = 639,435,324,609/373,202
  6. Step 6: Final answer
    x = 1,713,375.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.