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Finding the Third Proportional to 344,162.25 and 738,145.83

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Solution

The third proportional to 344,162.25 and 738,145.83 is: 1,583,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,162.25 : 738,145.83 = 738,145.83 : x
  2. Step 2: Convert to fraction form
    344,162.25/738,145.83 = 738,145.83/x
  3. Step 3: Cross multiply
    344,162.25x = 738,145.83 × 738,145.83
  4. Step 4: Simplify right side
    344,162.25x = 544,859,263,578.34
  5. Step 5: Solve for x
    x = 544,859,263,578.34/344,162.25
  6. Step 6: Final answer
    x = 1,583,146.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.