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Finding the Third Proportional to 191,567 and 416,324

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Solution

The third proportional to 191,567 and 416,324 is: 904,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,567 : 416,324 = 416,324 : x
  2. Step 2: Convert to fraction form
    191,567/416,324 = 416,324/x
  3. Step 3: Cross multiply
    191,567x = 416,324 × 416,324
  4. Step 4: Simplify right side
    191,567x = 173,325,672,976
  5. Step 5: Solve for x
    x = 173,325,672,976/191,567
  6. Step 6: Final answer
    x = 904,778.34

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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.