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Finding the Third Proportional to 293,904 and 441,252

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Solution

The third proportional to 293,904 and 441,252 is: 662,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,904 : 441,252 = 441,252 : x
  2. Step 2: Convert to fraction form
    293,904/441,252 = 441,252/x
  3. Step 3: Cross multiply
    293,904x = 441,252 × 441,252
  4. Step 4: Simplify right side
    293,904x = 194,703,327,504
  5. Step 5: Solve for x
    x = 194,703,327,504/293,904
  6. Step 6: Final answer
    x = 662,472.53

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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.