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Finding the Third Proportional to 475,817 and 694,734

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Solution

The third proportional to 475,817 and 694,734 is: 1,014,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,817 : 694,734 = 694,734 : x
  2. Step 2: Convert to fraction form
    475,817/694,734 = 694,734/x
  3. Step 3: Cross multiply
    475,817x = 694,734 × 694,734
  4. Step 4: Simplify right side
    475,817x = 482,655,330,756
  5. Step 5: Solve for x
    x = 482,655,330,756/475,817
  6. Step 6: Final answer
    x = 1,014,371.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.