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Finding the Third Proportional to 381,708 and 591,331.50

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Solution

The third proportional to 381,708 and 591,331.50 is: 916,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,708 : 591,331.50 = 591,331.50 : x
  2. Step 2: Convert to fraction form
    381,708/591,331.50 = 591,331.50/x
  3. Step 3: Cross multiply
    381,708x = 591,331.50 × 591,331.50
  4. Step 4: Simplify right side
    381,708x = 349,672,942,892.25
  5. Step 5: Solve for x
    x = 349,672,942,892.25/381,708
  6. Step 6: Final answer
    x = 916,074.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.