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Finding the Third Proportional to 267,091 and 630,493

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Solution

The third proportional to 267,091 and 630,493 is: 1,488,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,091 : 630,493 = 630,493 : x
  2. Step 2: Convert to fraction form
    267,091/630,493 = 630,493/x
  3. Step 3: Cross multiply
    267,091x = 630,493 × 630,493
  4. Step 4: Simplify right side
    267,091x = 397,521,423,049
  5. Step 5: Solve for x
    x = 397,521,423,049/267,091
  6. Step 6: Final answer
    x = 1,488,337.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.