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Finding the Third Proportional to 547,004 and 827,796

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Solution

The third proportional to 547,004 and 827,796 is: 1,252,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,004 : 827,796 = 827,796 : x
  2. Step 2: Convert to fraction form
    547,004/827,796 = 827,796/x
  3. Step 3: Cross multiply
    547,004x = 827,796 × 827,796
  4. Step 4: Simplify right side
    547,004x = 685,246,217,616
  5. Step 5: Solve for x
    x = 685,246,217,616/547,004
  6. Step 6: Final answer
    x = 1,252,726.15

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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.