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Finding the Third Proportional to 246,308 and 396,662

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Solution

The third proportional to 246,308 and 396,662 is: 638,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,308 : 396,662 = 396,662 : x
  2. Step 2: Convert to fraction form
    246,308/396,662 = 396,662/x
  3. Step 3: Cross multiply
    246,308x = 396,662 × 396,662
  4. Step 4: Simplify right side
    246,308x = 157,340,742,244
  5. Step 5: Solve for x
    x = 157,340,742,244/246,308
  6. Step 6: Final answer
    x = 638,796.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.