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Finding the Third Proportional to 551,348 and 827,247

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Solution

The third proportional to 551,348 and 827,247 is: 1,241,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,348 : 827,247 = 827,247 : x
  2. Step 2: Convert to fraction form
    551,348/827,247 = 827,247/x
  3. Step 3: Cross multiply
    551,348x = 827,247 × 827,247
  4. Step 4: Simplify right side
    551,348x = 684,337,599,009
  5. Step 5: Solve for x
    x = 684,337,599,009/551,348
  6. Step 6: Final answer
    x = 1,241,208.09

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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.