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Finding the Third Proportional to 267,403 and 557,223

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Solution

The third proportional to 267,403 and 557,223 is: 1,161,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,403 : 557,223 = 557,223 : x
  2. Step 2: Convert to fraction form
    267,403/557,223 = 557,223/x
  3. Step 3: Cross multiply
    267,403x = 557,223 × 557,223
  4. Step 4: Simplify right side
    267,403x = 310,497,471,729
  5. Step 5: Solve for x
    x = 310,497,471,729/267,403
  6. Step 6: Final answer
    x = 1,161,159.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.