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Finding the Third Proportional to 191,722 and 416,906

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Solution

The third proportional to 191,722 and 416,906 is: 906,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,722 : 416,906 = 416,906 : x
  2. Step 2: Convert to fraction form
    191,722/416,906 = 416,906/x
  3. Step 3: Cross multiply
    191,722x = 416,906 × 416,906
  4. Step 4: Simplify right side
    191,722x = 173,810,612,836
  5. Step 5: Solve for x
    x = 173,810,612,836/191,722
  6. Step 6: Final answer
    x = 906,576.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.