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Finding the Third Proportional to 441,894 and 691,275

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Solution

The third proportional to 441,894 and 691,275 is: 1,081,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,894 : 691,275 = 691,275 : x
  2. Step 2: Convert to fraction form
    441,894/691,275 = 691,275/x
  3. Step 3: Cross multiply
    441,894x = 691,275 × 691,275
  4. Step 4: Simplify right side
    441,894x = 477,861,125,625
  5. Step 5: Solve for x
    x = 477,861,125,625/441,894
  6. Step 6: Final answer
    x = 1,081,393.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.