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Finding the Third Proportional to 206,882 and 446,421

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Solution

The third proportional to 206,882 and 446,421 is: 963,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,882 : 446,421 = 446,421 : x
  2. Step 2: Convert to fraction form
    206,882/446,421 = 446,421/x
  3. Step 3: Cross multiply
    206,882x = 446,421 × 446,421
  4. Step 4: Simplify right side
    206,882x = 199,291,709,241
  5. Step 5: Solve for x
    x = 199,291,709,241/206,882
  6. Step 6: Final answer
    x = 963,311.01

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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.