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Finding the Third Proportional to 300,742 and 640,809

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Solution

The third proportional to 300,742 and 640,809 is: 1,365,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,742 : 640,809 = 640,809 : x
  2. Step 2: Convert to fraction form
    300,742/640,809 = 640,809/x
  3. Step 3: Cross multiply
    300,742x = 640,809 × 640,809
  4. Step 4: Simplify right side
    300,742x = 410,636,174,481
  5. Step 5: Solve for x
    x = 410,636,174,481/300,742
  6. Step 6: Final answer
    x = 1,365,410.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.