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Finding the Third Proportional to 293,878 and 441,627

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Solution

The third proportional to 293,878 and 441,627 is: 663,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,878 : 441,627 = 441,627 : x
  2. Step 2: Convert to fraction form
    293,878/441,627 = 441,627/x
  3. Step 3: Cross multiply
    293,878x = 441,627 × 441,627
  4. Step 4: Simplify right side
    293,878x = 195,034,407,129
  5. Step 5: Solve for x
    x = 195,034,407,129/293,878
  6. Step 6: Final answer
    x = 663,657.73

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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.