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Finding the Third Proportional to 335,190 and 722,856

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Solution

The third proportional to 335,190 and 722,856 is: 1,558,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,190 : 722,856 = 722,856 : x
  2. Step 2: Convert to fraction form
    335,190/722,856 = 722,856/x
  3. Step 3: Cross multiply
    335,190x = 722,856 × 722,856
  4. Step 4: Simplify right side
    335,190x = 522,520,796,736
  5. Step 5: Solve for x
    x = 522,520,796,736/335,190
  6. Step 6: Final answer
    x = 1,558,879.43

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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.