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Finding the Third Proportional to 379,720.50 and 835,233

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Solution

The third proportional to 379,720.50 and 835,233 is: 1,837,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,720.50 : 835,233 = 835,233 : x
  2. Step 2: Convert to fraction form
    379,720.50/835,233 = 835,233/x
  3. Step 3: Cross multiply
    379,720.50x = 835,233 × 835,233
  4. Step 4: Simplify right side
    379,720.50x = 697,614,164,289
  5. Step 5: Solve for x
    x = 697,614,164,289/379,720.50
  6. Step 6: Final answer
    x = 1,837,178.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.