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Finding the Third Proportional to 475,815 and 694,731

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Solution

The third proportional to 475,815 and 694,731 is: 1,014,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,815 : 694,731 = 694,731 : x
  2. Step 2: Convert to fraction form
    475,815/694,731 = 694,731/x
  3. Step 3: Cross multiply
    475,815x = 694,731 × 694,731
  4. Step 4: Simplify right side
    475,815x = 482,651,162,361
  5. Step 5: Solve for x
    x = 482,651,162,361/475,815
  6. Step 6: Final answer
    x = 1,014,367.27

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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.