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Finding the Third Proportional to 206,666 and 453,988

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Solution

The third proportional to 206,666 and 453,988 is: 997,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,666 : 453,988 = 453,988 : x
  2. Step 2: Convert to fraction form
    206,666/453,988 = 453,988/x
  3. Step 3: Cross multiply
    206,666x = 453,988 × 453,988
  4. Step 4: Simplify right side
    206,666x = 206,105,104,144
  5. Step 5: Solve for x
    x = 206,105,104,144/206,666
  6. Step 6: Final answer
    x = 997,285.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.