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Finding the Third Proportional to 372,933 and 804,834

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Solution

The third proportional to 372,933 and 804,834 is: 1,736,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,933 : 804,834 = 804,834 : x
  2. Step 2: Convert to fraction form
    372,933/804,834 = 804,834/x
  3. Step 3: Cross multiply
    372,933x = 804,834 × 804,834
  4. Step 4: Simplify right side
    372,933x = 647,757,767,556
  5. Step 5: Solve for x
    x = 647,757,767,556/372,933
  6. Step 6: Final answer
    x = 1,736,927.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.