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Finding the Third Proportional to 306,378.75 and 441,280.13

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Solution

The third proportional to 306,378.75 and 441,280.13 is: 635,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,378.75 : 441,280.13 = 441,280.13 : x
  2. Step 2: Convert to fraction form
    306,378.75/441,280.13 = 441,280.13/x
  3. Step 3: Cross multiply
    306,378.75x = 441,280.13 × 441,280.13
  4. Step 4: Simplify right side
    306,378.75x = 194,728,148,720.02
  5. Step 5: Solve for x
    x = 194,728,148,720.02/306,378.75
  6. Step 6: Final answer
    x = 635,579.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.