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Finding the Third Proportional to 336,703 and 726,818

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Solution

The third proportional to 336,703 and 726,818 is: 1,568,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,703 : 726,818 = 726,818 : x
  2. Step 2: Convert to fraction form
    336,703/726,818 = 726,818/x
  3. Step 3: Cross multiply
    336,703x = 726,818 × 726,818
  4. Step 4: Simplify right side
    336,703x = 528,264,405,124
  5. Step 5: Solve for x
    x = 528,264,405,124/336,703
  6. Step 6: Final answer
    x = 1,568,932.87

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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.