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Finding the Third Proportional to 547,007 and 827,800

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Solution

The third proportional to 547,007 and 827,800 is: 1,252,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,007 : 827,800 = 827,800 : x
  2. Step 2: Convert to fraction form
    547,007/827,800 = 827,800/x
  3. Step 3: Cross multiply
    547,007x = 827,800 × 827,800
  4. Step 4: Simplify right side
    547,007x = 685,252,840,000
  5. Step 5: Solve for x
    x = 685,252,840,000/547,007
  6. Step 6: Final answer
    x = 1,252,731.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.