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Finding the Third Proportional to 211,463 and 476,157

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Solution

The third proportional to 211,463 and 476,157 is: 1,072,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,463 : 476,157 = 476,157 : x
  2. Step 2: Convert to fraction form
    211,463/476,157 = 476,157/x
  3. Step 3: Cross multiply
    211,463x = 476,157 × 476,157
  4. Step 4: Simplify right side
    211,463x = 226,725,488,649
  5. Step 5: Solve for x
    x = 226,725,488,649/211,463
  6. Step 6: Final answer
    x = 1,072,175.69

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.