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Finding the Third Proportional to 300,456 and 639,216

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Solution

The third proportional to 300,456 and 639,216 is: 1,359,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,456 : 639,216 = 639,216 : x
  2. Step 2: Convert to fraction form
    300,456/639,216 = 639,216/x
  3. Step 3: Cross multiply
    300,456x = 639,216 × 639,216
  4. Step 4: Simplify right side
    300,456x = 408,597,094,656
  5. Step 5: Solve for x
    x = 408,597,094,656/300,456
  6. Step 6: Final answer
    x = 1,359,923.23

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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.