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Finding the Third Proportional to 706,906.50 and 1,058,049.75

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Solution

The third proportional to 706,906.50 and 1,058,049.75 is: 1,583,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,906.50 : 1,058,049.75 = 1,058,049.75 : x
  2. Step 2: Convert to fraction form
    706,906.50/1,058,049.75 = 1,058,049.75/x
  3. Step 3: Cross multiply
    706,906.50x = 1,058,049.75 × 1,058,049.75
  4. Step 4: Simplify right side
    706,906.50x = 1,119,469,273,475.06
  5. Step 5: Solve for x
    x = 1,119,469,273,475.06/706,906.50
  6. Step 6: Final answer
    x = 1,583,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.