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Finding the Third Proportional to 336,665 and 726,742

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Solution

The third proportional to 336,665 and 726,742 is: 1,568,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,665 : 726,742 = 726,742 : x
  2. Step 2: Convert to fraction form
    336,665/726,742 = 726,742/x
  3. Step 3: Cross multiply
    336,665x = 726,742 × 726,742
  4. Step 4: Simplify right side
    336,665x = 528,153,934,564
  5. Step 5: Solve for x
    x = 528,153,934,564/336,665
  6. Step 6: Final answer
    x = 1,568,781.83

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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.