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Finding the Third Proportional to 300,081 and 453,334.50

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Solution

The third proportional to 300,081 and 453,334.50 is: 684,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,081 : 453,334.50 = 453,334.50 : x
  2. Step 2: Convert to fraction form
    300,081/453,334.50 = 453,334.50/x
  3. Step 3: Cross multiply
    300,081x = 453,334.50 × 453,334.50
  4. Step 4: Simplify right side
    300,081x = 205,512,168,890.25
  5. Step 5: Solve for x
    x = 205,512,168,890.25/300,081
  6. Step 6: Final answer
    x = 684,855.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.