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Finding the Third Proportional to 191,682 and 416,826

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Solution

The third proportional to 191,682 and 416,826 is: 906,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,682 : 416,826 = 416,826 : x
  2. Step 2: Convert to fraction form
    191,682/416,826 = 416,826/x
  3. Step 3: Cross multiply
    191,682x = 416,826 × 416,826
  4. Step 4: Simplify right side
    191,682x = 173,743,914,276
  5. Step 5: Solve for x
    x = 173,743,914,276/191,682
  6. Step 6: Final answer
    x = 906,417.47

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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.