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Finding the Third Proportional to 551,346 and 827,244

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Solution

The third proportional to 551,346 and 827,244 is: 1,241,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,346 : 827,244 = 827,244 : x
  2. Step 2: Convert to fraction form
    551,346/827,244 = 827,244/x
  3. Step 3: Cross multiply
    551,346x = 827,244 × 827,244
  4. Step 4: Simplify right side
    551,346x = 684,332,635,536
  5. Step 5: Solve for x
    x = 684,332,635,536/551,346
  6. Step 6: Final answer
    x = 1,241,203.59

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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.