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Finding the Third Proportional to 694,014.75 and 945,477

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Solution

The third proportional to 694,014.75 and 945,477 is: 1,288,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,014.75 : 945,477 = 945,477 : x
  2. Step 2: Convert to fraction form
    694,014.75/945,477 = 945,477/x
  3. Step 3: Cross multiply
    694,014.75x = 945,477 × 945,477
  4. Step 4: Simplify right side
    694,014.75x = 893,926,757,529
  5. Step 5: Solve for x
    x = 893,926,757,529/694,014.75
  6. Step 6: Final answer
    x = 1,288,051.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.