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Finding the Third Proportional to 338,880 and 451,788.50

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Solution

The third proportional to 338,880 and 451,788.50 is: 602,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,880 : 451,788.50 = 451,788.50 : x
  2. Step 2: Convert to fraction form
    338,880/451,788.50 = 451,788.50/x
  3. Step 3: Cross multiply
    338,880x = 451,788.50 × 451,788.50
  4. Step 4: Simplify right side
    338,880x = 204,112,848,732.25
  5. Step 5: Solve for x
    x = 204,112,848,732.25/338,880
  6. Step 6: Final answer
    x = 602,316.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.