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Finding the Third Proportional to 274,169.81 and 601,308.56

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Solution

The third proportional to 274,169.81 and 601,308.56 is: 1,318,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,169.81 : 601,308.56 = 601,308.56 : x
  2. Step 2: Convert to fraction form
    274,169.81/601,308.56 = 601,308.56/x
  3. Step 3: Cross multiply
    274,169.81x = 601,308.56 × 601,308.56
  4. Step 4: Simplify right side
    274,169.81x = 361,571,987,335.82
  5. Step 5: Solve for x
    x = 361,571,987,335.82/274,169.81
  6. Step 6: Final answer
    x = 1,318,788.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.