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Finding the Third Proportional to 362,686 and 544,345

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Solution

The third proportional to 362,686 and 544,345 is: 816,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,686 : 544,345 = 544,345 : x
  2. Step 2: Convert to fraction form
    362,686/544,345 = 544,345/x
  3. Step 3: Cross multiply
    362,686x = 544,345 × 544,345
  4. Step 4: Simplify right side
    362,686x = 296,311,479,025
  5. Step 5: Solve for x
    x = 296,311,479,025/362,686
  6. Step 6: Final answer
    x = 816,991.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.