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Finding the Third Proportional to 339,936 and 524,544

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Solution

The third proportional to 339,936 and 524,544 is: 809,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,936 : 524,544 = 524,544 : x
  2. Step 2: Convert to fraction form
    339,936/524,544 = 524,544/x
  3. Step 3: Cross multiply
    339,936x = 524,544 × 524,544
  4. Step 4: Simplify right side
    339,936x = 275,146,407,936
  5. Step 5: Solve for x
    x = 275,146,407,936/339,936
  6. Step 6: Final answer
    x = 809,406.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.