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Finding the Third Proportional to 322,066.13 and 644,096.81

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Solution

The third proportional to 322,066.13 and 644,096.81 is: 1,288,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,066.13 : 644,096.81 = 644,096.81 : x
  2. Step 2: Convert to fraction form
    322,066.13/644,096.81 = 644,096.81/x
  3. Step 3: Cross multiply
    322,066.13x = 644,096.81 × 644,096.81
  4. Step 4: Simplify right side
    322,066.13x = 414,860,703,872.66
  5. Step 5: Solve for x
    x = 414,860,703,872.66/322,066.13
  6. Step 6: Final answer
    x = 1,288,122.75

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.