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Finding the Third Proportional to 369,110 and 804,927

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Solution

The third proportional to 369,110 and 804,927 is: 1,755,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,110 : 804,927 = 804,927 : x
  2. Step 2: Convert to fraction form
    369,110/804,927 = 804,927/x
  3. Step 3: Cross multiply
    369,110x = 804,927 × 804,927
  4. Step 4: Simplify right side
    369,110x = 647,907,475,329
  5. Step 5: Solve for x
    x = 647,907,475,329/369,110
  6. Step 6: Final answer
    x = 1,755,323.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.