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Finding the Third Proportional to 206,002 and 445,700

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Solution

The third proportional to 206,002 and 445,700 is: 964,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,002 : 445,700 = 445,700 : x
  2. Step 2: Convert to fraction form
    206,002/445,700 = 445,700/x
  3. Step 3: Cross multiply
    206,002x = 445,700 × 445,700
  4. Step 4: Simplify right side
    206,002x = 198,648,490,000
  5. Step 5: Solve for x
    x = 198,648,490,000/206,002
  6. Step 6: Final answer
    x = 964,303.70

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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.