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Finding the Third Proportional to 373,201 and 799,645

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Solution

The third proportional to 373,201 and 799,645 is: 1,713,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,201 : 799,645 = 799,645 : x
  2. Step 2: Convert to fraction form
    373,201/799,645 = 799,645/x
  3. Step 3: Cross multiply
    373,201x = 799,645 × 799,645
  4. Step 4: Simplify right side
    373,201x = 639,432,126,025
  5. Step 5: Solve for x
    x = 639,432,126,025/373,201
  6. Step 6: Final answer
    x = 1,713,371.95

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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.