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Finding the Third Proportional to 215,256 and 471,297

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Solution

The third proportional to 215,256 and 471,297 is: 1,031,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,256 : 471,297 = 471,297 : x
  2. Step 2: Convert to fraction form
    215,256/471,297 = 471,297/x
  3. Step 3: Cross multiply
    215,256x = 471,297 × 471,297
  4. Step 4: Simplify right side
    215,256x = 222,120,862,209
  5. Step 5: Solve for x
    x = 222,120,862,209/215,256
  6. Step 6: Final answer
    x = 1,031,891.62

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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.