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Finding the Third Proportional to 358,544 and 764,192

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Solution

The third proportional to 358,544 and 764,192 is: 1,628,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,544 : 764,192 = 764,192 : x
  2. Step 2: Convert to fraction form
    358,544/764,192 = 764,192/x
  3. Step 3: Cross multiply
    358,544x = 764,192 × 764,192
  4. Step 4: Simplify right side
    358,544x = 583,989,412,864
  5. Step 5: Solve for x
    x = 583,989,412,864/358,544
  6. Step 6: Final answer
    x = 1,628,780.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.