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Finding the Third Proportional to 338,889 and 733,571.25

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Solution

The third proportional to 338,889 and 733,571.25 is: 1,587,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,889 : 733,571.25 = 733,571.25 : x
  2. Step 2: Convert to fraction form
    338,889/733,571.25 = 733,571.25/x
  3. Step 3: Cross multiply
    338,889x = 733,571.25 × 733,571.25
  4. Step 4: Simplify right side
    338,889x = 538,126,778,826.56
  5. Step 5: Solve for x
    x = 538,126,778,826.56/338,889
  6. Step 6: Final answer
    x = 1,587,914.56

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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.