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Finding the Third Proportional to 340,524 and 733,006

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Solution

The third proportional to 340,524 and 733,006 is: 1,577,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,524 : 733,006 = 733,006 : x
  2. Step 2: Convert to fraction form
    340,524/733,006 = 733,006/x
  3. Step 3: Cross multiply
    340,524x = 733,006 × 733,006
  4. Step 4: Simplify right side
    340,524x = 537,297,796,036
  5. Step 5: Solve for x
    x = 537,297,796,036/340,524
  6. Step 6: Final answer
    x = 1,577,855.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.