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Finding the Third Proportional to 691,654.50 and 1,058,469.75

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Solution

The third proportional to 691,654.50 and 1,058,469.75 is: 1,619,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,654.50 : 1,058,469.75 = 1,058,469.75 : x
  2. Step 2: Convert to fraction form
    691,654.50/1,058,469.75 = 1,058,469.75/x
  3. Step 3: Cross multiply
    691,654.50x = 1,058,469.75 × 1,058,469.75
  4. Step 4: Simplify right side
    691,654.50x = 1,120,358,211,665.06
  5. Step 5: Solve for x
    x = 1,120,358,211,665.06/691,654.50
  6. Step 6: Final answer
    x = 1,619,823.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.