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Finding the Third Proportional to 344,172.38 and 738,167.34

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Solution

The third proportional to 344,172.38 and 738,167.34 is: 1,583,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,172.38 : 738,167.34 = 738,167.34 : x
  2. Step 2: Convert to fraction form
    344,172.38/738,167.34 = 738,167.34/x
  3. Step 3: Cross multiply
    344,172.38x = 738,167.34 × 738,167.34
  4. Step 4: Simplify right side
    344,172.38x = 544,891,027,378.93
  5. Step 5: Solve for x
    x = 544,891,027,378.93/344,172.38
  6. Step 6: Final answer
    x = 1,583,192.22

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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.