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Finding the Third Proportional to 293,224 and 439,754

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Solution

The third proportional to 293,224 and 439,754 is: 659,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,224 : 439,754 = 439,754 : x
  2. Step 2: Convert to fraction form
    293,224/439,754 = 439,754/x
  3. Step 3: Cross multiply
    293,224x = 439,754 × 439,754
  4. Step 4: Simplify right side
    293,224x = 193,383,580,516
  5. Step 5: Solve for x
    x = 193,383,580,516/293,224
  6. Step 6: Final answer
    x = 659,508.02

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Why These Related Problems?

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