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Finding the Third Proportional to 293,675 and 467,297

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Solution

The third proportional to 293,675 and 467,297 is: 743,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,675 : 467,297 = 467,297 : x
  2. Step 2: Convert to fraction form
    293,675/467,297 = 467,297/x
  3. Step 3: Cross multiply
    293,675x = 467,297 × 467,297
  4. Step 4: Simplify right side
    293,675x = 218,366,486,209
  5. Step 5: Solve for x
    x = 218,366,486,209/293,675
  6. Step 6: Final answer
    x = 743,565.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.