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Finding the Third Proportional to 216,900 and 461,448

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Solution

The third proportional to 216,900 and 461,448 is: 981,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,900 : 461,448 = 461,448 : x
  2. Step 2: Convert to fraction form
    216,900/461,448 = 461,448/x
  3. Step 3: Cross multiply
    216,900x = 461,448 × 461,448
  4. Step 4: Simplify right side
    216,900x = 212,934,256,704
  5. Step 5: Solve for x
    x = 212,934,256,704/216,900
  6. Step 6: Final answer
    x = 981,716.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.