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Finding the Third Proportional to 338,883.75 and 733,557.75

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Solution

The third proportional to 338,883.75 and 733,557.75 is: 1,587,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,883.75 : 733,557.75 = 733,557.75 : x
  2. Step 2: Convert to fraction form
    338,883.75/733,557.75 = 733,557.75/x
  3. Step 3: Cross multiply
    338,883.75x = 733,557.75 × 733,557.75
  4. Step 4: Simplify right side
    338,883.75x = 538,106,972,585.06
  5. Step 5: Solve for x
    x = 538,106,972,585.06/338,883.75
  6. Step 6: Final answer
    x = 1,587,880.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.