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Finding the Third Proportional to 268,714.50 and 401,667

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Solution

The third proportional to 268,714.50 and 401,667 is: 600,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,714.50 : 401,667 = 401,667 : x
  2. Step 2: Convert to fraction form
    268,714.50/401,667 = 401,667/x
  3. Step 3: Cross multiply
    268,714.50x = 401,667 × 401,667
  4. Step 4: Simplify right side
    268,714.50x = 161,336,378,889
  5. Step 5: Solve for x
    x = 161,336,378,889/268,714.50
  6. Step 6: Final answer
    x = 600,400.72

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