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Finding the Third Proportional to 422,034 and 976,168.50

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Solution

The third proportional to 422,034 and 976,168.50 is: 2,257,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,034 : 976,168.50 = 976,168.50 : x
  2. Step 2: Convert to fraction form
    422,034/976,168.50 = 976,168.50/x
  3. Step 3: Cross multiply
    422,034x = 976,168.50 × 976,168.50
  4. Step 4: Simplify right side
    422,034x = 952,904,940,392.25
  5. Step 5: Solve for x
    x = 952,904,940,392.25/422,034
  6. Step 6: Final answer
    x = 2,257,886.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.