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Finding the Third Proportional to 268,736 and 401,700

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Solution

The third proportional to 268,736 and 401,700 is: 600,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,736 : 401,700 = 401,700 : x
  2. Step 2: Convert to fraction form
    268,736/401,700 = 401,700/x
  3. Step 3: Cross multiply
    268,736x = 401,700 × 401,700
  4. Step 4: Simplify right side
    268,736x = 161,362,890,000
  5. Step 5: Solve for x
    x = 161,362,890,000/268,736
  6. Step 6: Final answer
    x = 600,451.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.