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Finding the Third Proportional to 246,015.56 and 401,724.56

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Solution

The third proportional to 246,015.56 and 401,724.56 is: 655,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,015.56 : 401,724.56 = 401,724.56 : x
  2. Step 2: Convert to fraction form
    246,015.56/401,724.56 = 401,724.56/x
  3. Step 3: Cross multiply
    246,015.56x = 401,724.56 × 401,724.56
  4. Step 4: Simplify right side
    246,015.56x = 161,382,624,115.82
  5. Step 5: Solve for x
    x = 161,382,624,115.82/246,015.56
  6. Step 6: Final answer
    x = 655,985.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.