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Finding the Third Proportional to 246,466.50 and 396,807

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Solution

The third proportional to 246,466.50 and 396,807 is: 638,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,466.50 : 396,807 = 396,807 : x
  2. Step 2: Convert to fraction form
    246,466.50/396,807 = 396,807/x
  3. Step 3: Cross multiply
    246,466.50x = 396,807 × 396,807
  4. Step 4: Simplify right side
    246,466.50x = 157,455,795,249
  5. Step 5: Solve for x
    x = 157,455,795,249/246,466.50
  6. Step 6: Final answer
    x = 638,852.73

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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.