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Finding the Third Proportional to 352,170 and 733,522

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Solution

The third proportional to 352,170 and 733,522 is: 1,527,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,170 : 733,522 = 733,522 : x
  2. Step 2: Convert to fraction form
    352,170/733,522 = 733,522/x
  3. Step 3: Cross multiply
    352,170x = 733,522 × 733,522
  4. Step 4: Simplify right side
    352,170x = 538,054,524,484
  5. Step 5: Solve for x
    x = 538,054,524,484/352,170
  6. Step 6: Final answer
    x = 1,527,826.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.