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Finding the Third Proportional to 454,288.50 and 660,291.75

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Solution

The third proportional to 454,288.50 and 660,291.75 is: 959,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,288.50 : 660,291.75 = 660,291.75 : x
  2. Step 2: Convert to fraction form
    454,288.50/660,291.75 = 660,291.75/x
  3. Step 3: Cross multiply
    454,288.50x = 660,291.75 × 660,291.75
  4. Step 4: Simplify right side
    454,288.50x = 435,985,195,118.06
  5. Step 5: Solve for x
    x = 435,985,195,118.06/454,288.50
  6. Step 6: Final answer
    x = 959,709.95

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.