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Finding the Third Proportional to 694,017.38 and 945,480.94

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Solution

The third proportional to 694,017.38 and 945,480.94 is: 1,288,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,017.38 : 945,480.94 = 945,480.94 : x
  2. Step 2: Convert to fraction form
    694,017.38/945,480.94 = 945,480.94/x
  3. Step 3: Cross multiply
    694,017.38x = 945,480.94 × 945,480.94
  4. Step 4: Simplify right side
    694,017.38x = 893,934,203,175.88
  5. Step 5: Solve for x
    x = 893,934,203,175.88/694,017.38
  6. Step 6: Final answer
    x = 1,288,057.38

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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.