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Finding the Third Proportional to 370,072.50 and 769,233

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Solution

The third proportional to 370,072.50 and 769,233 is: 1,598,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,072.50 : 769,233 = 769,233 : x
  2. Step 2: Convert to fraction form
    370,072.50/769,233 = 769,233/x
  3. Step 3: Cross multiply
    370,072.50x = 769,233 × 769,233
  4. Step 4: Simplify right side
    370,072.50x = 591,719,408,289
  5. Step 5: Solve for x
    x = 591,719,408,289/370,072.50
  6. Step 6: Final answer
    x = 1,598,928.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.