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Finding the Third Proportional to 293,924 and 439,745

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Solution

The third proportional to 293,924 and 439,745 is: 657,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,924 : 439,745 = 439,745 : x
  2. Step 2: Convert to fraction form
    293,924/439,745 = 439,745/x
  3. Step 3: Cross multiply
    293,924x = 439,745 × 439,745
  4. Step 4: Simplify right side
    293,924x = 193,375,665,025
  5. Step 5: Solve for x
    x = 193,375,665,025/293,924
  6. Step 6: Final answer
    x = 657,910.43

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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.