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Finding the Third Proportional to 300,162 and 640,492

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Solution

The third proportional to 300,162 and 640,492 is: 1,366,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,162 : 640,492 = 640,492 : x
  2. Step 2: Convert to fraction form
    300,162/640,492 = 640,492/x
  3. Step 3: Cross multiply
    300,162x = 640,492 × 640,492
  4. Step 4: Simplify right side
    300,162x = 410,230,002,064
  5. Step 5: Solve for x
    x = 410,230,002,064/300,162
  6. Step 6: Final answer
    x = 1,366,695.32

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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.