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Finding the Third Proportional to 211,074 and 451,672

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Solution

The third proportional to 211,074 and 451,672 is: 966,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,074 : 451,672 = 451,672 : x
  2. Step 2: Convert to fraction form
    211,074/451,672 = 451,672/x
  3. Step 3: Cross multiply
    211,074x = 451,672 × 451,672
  4. Step 4: Simplify right side
    211,074x = 204,007,595,584
  5. Step 5: Solve for x
    x = 204,007,595,584/211,074
  6. Step 6: Final answer
    x = 966,521.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.