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Finding the Third Proportional to 206,553 and 437,919

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Solution

The third proportional to 206,553 and 437,919 is: 928,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,553 : 437,919 = 437,919 : x
  2. Step 2: Convert to fraction form
    206,553/437,919 = 437,919/x
  3. Step 3: Cross multiply
    206,553x = 437,919 × 437,919
  4. Step 4: Simplify right side
    206,553x = 191,773,050,561
  5. Step 5: Solve for x
    x = 191,773,050,561/206,553
  6. Step 6: Final answer
    x = 928,444.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.