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Finding the Third Proportional to 454,443.50 and 691,108

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Solution

The third proportional to 454,443.50 and 691,108 is: 1,051,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,443.50 : 691,108 = 691,108 : x
  2. Step 2: Convert to fraction form
    454,443.50/691,108 = 691,108/x
  3. Step 3: Cross multiply
    454,443.50x = 691,108 × 691,108
  4. Step 4: Simplify right side
    454,443.50x = 477,630,267,664
  5. Step 5: Solve for x
    x = 477,630,267,664/454,443.50
  6. Step 6: Final answer
    x = 1,051,022.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.