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Finding the Third Proportional to 322,496.50 and 504,018.75

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Solution

The third proportional to 322,496.50 and 504,018.75 is: 787,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,496.50 : 504,018.75 = 504,018.75 : x
  2. Step 2: Convert to fraction form
    322,496.50/504,018.75 = 504,018.75/x
  3. Step 3: Cross multiply
    322,496.50x = 504,018.75 × 504,018.75
  4. Step 4: Simplify right side
    322,496.50x = 254,034,900,351.56
  5. Step 5: Solve for x
    x = 254,034,900,351.56/322,496.50
  6. Step 6: Final answer
    x = 787,713.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.