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Finding the Third Proportional to 294,034.50 and 439,877.25

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Solution

The third proportional to 294,034.50 and 439,877.25 is: 658,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,034.50 : 439,877.25 = 439,877.25 : x
  2. Step 2: Convert to fraction form
    294,034.50/439,877.25 = 439,877.25/x
  3. Step 3: Cross multiply
    294,034.50x = 439,877.25 × 439,877.25
  4. Step 4: Simplify right side
    294,034.50x = 193,491,995,067.56
  5. Step 5: Solve for x
    x = 193,491,995,067.56/294,034.50
  6. Step 6: Final answer
    x = 658,058.82

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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.