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Finding the Third Proportional to 262,522 and 396,186

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Solution

The third proportional to 262,522 and 396,186 is: 597,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,522 : 396,186 = 396,186 : x
  2. Step 2: Convert to fraction form
    262,522/396,186 = 396,186/x
  3. Step 3: Cross multiply
    262,522x = 396,186 × 396,186
  4. Step 4: Simplify right side
    262,522x = 156,963,346,596
  5. Step 5: Solve for x
    x = 156,963,346,596/262,522
  6. Step 6: Final answer
    x = 597,905.50

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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.