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Finding the Third Proportional to 306,620 and 659,872

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Solution

The third proportional to 306,620 and 659,872 is: 1,420,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,620 : 659,872 = 659,872 : x
  2. Step 2: Convert to fraction form
    306,620/659,872 = 659,872/x
  3. Step 3: Cross multiply
    306,620x = 659,872 × 659,872
  4. Step 4: Simplify right side
    306,620x = 435,431,056,384
  5. Step 5: Solve for x
    x = 435,431,056,384/306,620
  6. Step 6: Final answer
    x = 1,420,099.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.