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Finding the Third Proportional to 418,081.50 and 617,280.75

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Solution

The third proportional to 418,081.50 and 617,280.75 is: 911,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,081.50 : 617,280.75 = 617,280.75 : x
  2. Step 2: Convert to fraction form
    418,081.50/617,280.75 = 617,280.75/x
  3. Step 3: Cross multiply
    418,081.50x = 617,280.75 × 617,280.75
  4. Step 4: Simplify right side
    418,081.50x = 381,035,524,320.56
  5. Step 5: Solve for x
    x = 381,035,524,320.56/418,081.50
  6. Step 6: Final answer
    x = 911,390.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.