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Finding the Third Proportional to 207,149 and 453,822

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Solution

The third proportional to 207,149 and 453,822 is: 994,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,149 : 453,822 = 453,822 : x
  2. Step 2: Convert to fraction form
    207,149/453,822 = 453,822/x
  3. Step 3: Cross multiply
    207,149x = 453,822 × 453,822
  4. Step 4: Simplify right side
    207,149x = 205,954,407,684
  5. Step 5: Solve for x
    x = 205,954,407,684/207,149
  6. Step 6: Final answer
    x = 994,233.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.