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Finding the Third Proportional to 270,796 and 423,474

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Solution

The third proportional to 270,796 and 423,474 is: 662,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,796 : 423,474 = 423,474 : x
  2. Step 2: Convert to fraction form
    270,796/423,474 = 423,474/x
  3. Step 3: Cross multiply
    270,796x = 423,474 × 423,474
  4. Step 4: Simplify right side
    270,796x = 179,330,228,676
  5. Step 5: Solve for x
    x = 179,330,228,676/270,796
  6. Step 6: Final answer
    x = 662,233.67

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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.