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Finding the Third Proportional to 200,579 and 440,526

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Solution

The third proportional to 200,579 and 440,526 is: 967,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,579 : 440,526 = 440,526 : x
  2. Step 2: Convert to fraction form
    200,579/440,526 = 440,526/x
  3. Step 3: Cross multiply
    200,579x = 440,526 × 440,526
  4. Step 4: Simplify right side
    200,579x = 194,063,156,676
  5. Step 5: Solve for x
    x = 194,063,156,676/200,579
  6. Step 6: Final answer
    x = 967,514.83

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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.