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Finding the Third Proportional to 322,036 and 757,738

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Solution

The third proportional to 322,036 and 757,738 is: 1,782,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,036 : 757,738 = 757,738 : x
  2. Step 2: Convert to fraction form
    322,036/757,738 = 757,738/x
  3. Step 3: Cross multiply
    322,036x = 757,738 × 757,738
  4. Step 4: Simplify right side
    322,036x = 574,166,876,644
  5. Step 5: Solve for x
    x = 574,166,876,644/322,036
  6. Step 6: Final answer
    x = 1,782,927.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.