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Finding the Third Proportional to 333,856 and 739,762

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Solution

The third proportional to 333,856 and 739,762 is: 1,639,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,856 : 739,762 = 739,762 : x
  2. Step 2: Convert to fraction form
    333,856/739,762 = 739,762/x
  3. Step 3: Cross multiply
    333,856x = 739,762 × 739,762
  4. Step 4: Simplify right side
    333,856x = 547,247,816,644
  5. Step 5: Solve for x
    x = 547,247,816,644/333,856
  6. Step 6: Final answer
    x = 1,639,173.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.