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Finding the Third Proportional to 322,708.50 and 701,388

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Solution

The third proportional to 322,708.50 and 701,388 is: 1,524,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,708.50 : 701,388 = 701,388 : x
  2. Step 2: Convert to fraction form
    322,708.50/701,388 = 701,388/x
  3. Step 3: Cross multiply
    322,708.50x = 701,388 × 701,388
  4. Step 4: Simplify right side
    322,708.50x = 491,945,126,544
  5. Step 5: Solve for x
    x = 491,945,126,544/322,708.50
  6. Step 6: Final answer
    x = 1,524,425.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.