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Finding the Third Proportional to 339,552 and 496,800

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Solution

The third proportional to 339,552 and 496,800 is: 726,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,552 : 496,800 = 496,800 : x
  2. Step 2: Convert to fraction form
    339,552/496,800 = 496,800/x
  3. Step 3: Cross multiply
    339,552x = 496,800 × 496,800
  4. Step 4: Simplify right side
    339,552x = 246,810,240,000
  5. Step 5: Solve for x
    x = 246,810,240,000/339,552
  6. Step 6: Final answer
    x = 726,870.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.