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Finding the Third Proportional to 479,318 and 733,521

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Solution

The third proportional to 479,318 and 733,521 is: 1,122,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,318 : 733,521 = 733,521 : x
  2. Step 2: Convert to fraction form
    479,318/733,521 = 733,521/x
  3. Step 3: Cross multiply
    479,318x = 733,521 × 733,521
  4. Step 4: Simplify right side
    479,318x = 538,053,057,441
  5. Step 5: Solve for x
    x = 538,053,057,441/479,318
  6. Step 6: Final answer
    x = 1,122,538.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.