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Finding the Third Proportional to 294,743.25 and 441,659.25

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Solution

The third proportional to 294,743.25 and 441,659.25 is: 661,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,743.25 : 441,659.25 = 441,659.25 : x
  2. Step 2: Convert to fraction form
    294,743.25/441,659.25 = 441,659.25/x
  3. Step 3: Cross multiply
    294,743.25x = 441,659.25 × 441,659.25
  4. Step 4: Simplify right side
    294,743.25x = 195,062,893,110.56
  5. Step 5: Solve for x
    x = 195,062,893,110.56/294,743.25
  6. Step 6: Final answer
    x = 661,806.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.