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Finding the Third Proportional to 327,808 and 500,464

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Solution

The third proportional to 327,808 and 500,464 is: 764,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,808 : 500,464 = 500,464 : x
  2. Step 2: Convert to fraction form
    327,808/500,464 = 500,464/x
  3. Step 3: Cross multiply
    327,808x = 500,464 × 500,464
  4. Step 4: Simplify right side
    327,808x = 250,464,215,296
  5. Step 5: Solve for x
    x = 250,464,215,296/327,808
  6. Step 6: Final answer
    x = 764,057.67

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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.