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Finding the Third Proportional to 206,425 and 447,201

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Solution

The third proportional to 206,425 and 447,201 is: 968,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,425 : 447,201 = 447,201 : x
  2. Step 2: Convert to fraction form
    206,425/447,201 = 447,201/x
  3. Step 3: Cross multiply
    206,425x = 447,201 × 447,201
  4. Step 4: Simplify right side
    206,425x = 199,988,734,401
  5. Step 5: Solve for x
    x = 199,988,734,401/206,425
  6. Step 6: Final answer
    x = 968,820.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.