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Finding the Third Proportional to 338,469 and 743,356.50

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Solution

The third proportional to 338,469 and 743,356.50 is: 1,632,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,469 : 743,356.50 = 743,356.50 : x
  2. Step 2: Convert to fraction form
    338,469/743,356.50 = 743,356.50/x
  3. Step 3: Cross multiply
    338,469x = 743,356.50 × 743,356.50
  4. Step 4: Simplify right side
    338,469x = 552,578,886,092.25
  5. Step 5: Solve for x
    x = 552,578,886,092.25/338,469
  6. Step 6: Final answer
    x = 1,632,583.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.