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Finding the Third Proportional to 209,274 and 453,318

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Solution

The third proportional to 209,274 and 453,318 is: 981,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,274 : 453,318 = 453,318 : x
  2. Step 2: Convert to fraction form
    209,274/453,318 = 453,318/x
  3. Step 3: Cross multiply
    209,274x = 453,318 × 453,318
  4. Step 4: Simplify right side
    209,274x = 205,497,209,124
  5. Step 5: Solve for x
    x = 205,497,209,124/209,274
  6. Step 6: Final answer
    x = 981,952.89

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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.