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Finding the Third Proportional to 293,757 and 396,348

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Solution

The third proportional to 293,757 and 396,348 is: 534,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,757 : 396,348 = 396,348 : x
  2. Step 2: Convert to fraction form
    293,757/396,348 = 396,348/x
  3. Step 3: Cross multiply
    293,757x = 396,348 × 396,348
  4. Step 4: Simplify right side
    293,757x = 157,091,737,104
  5. Step 5: Solve for x
    x = 157,091,737,104/293,757
  6. Step 6: Final answer
    x = 534,767.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.