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Finding the Third Proportional to 344,771.44 and 731,009.81

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Solution

The third proportional to 344,771.44 and 731,009.81 is: 1,549,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,771.44 : 731,009.81 = 731,009.81 : x
  2. Step 2: Convert to fraction form
    344,771.44/731,009.81 = 731,009.81/x
  3. Step 3: Cross multiply
    344,771.44x = 731,009.81 × 731,009.81
  4. Step 4: Simplify right side
    344,771.44x = 534,375,345,971.29
  5. Step 5: Solve for x
    x = 534,375,345,971.29/344,771.44
  6. Step 6: Final answer
    x = 1,549,940.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.