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Finding the Third Proportional to 464,462 and 694,965

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Solution

The third proportional to 464,462 and 694,965 is: 1,039,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,462 : 694,965 = 694,965 : x
  2. Step 2: Convert to fraction form
    464,462/694,965 = 694,965/x
  3. Step 3: Cross multiply
    464,462x = 694,965 × 694,965
  4. Step 4: Simplify right side
    464,462x = 482,976,351,225
  5. Step 5: Solve for x
    x = 482,976,351,225/464,462
  6. Step 6: Final answer
    x = 1,039,861.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.