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Finding the Third Proportional to 262,523 and 396,184

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Solution

The third proportional to 262,523 and 396,184 is: 597,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,523 : 396,184 = 396,184 : x
  2. Step 2: Convert to fraction form
    262,523/396,184 = 396,184/x
  3. Step 3: Cross multiply
    262,523x = 396,184 × 396,184
  4. Step 4: Simplify right side
    262,523x = 156,961,761,856
  5. Step 5: Solve for x
    x = 156,961,761,856/262,523
  6. Step 6: Final answer
    x = 597,897.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.