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Finding the Third Proportional to 273,175.03 and 414,683.30

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Solution

The third proportional to 273,175.03 and 414,683.30 is: 629,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,175.03 : 414,683.30 = 414,683.30 : x
  2. Step 2: Convert to fraction form
    273,175.03/414,683.30 = 414,683.30/x
  3. Step 3: Cross multiply
    273,175.03x = 414,683.30 × 414,683.30
  4. Step 4: Simplify right side
    273,175.03x = 171,962,236,707.12
  5. Step 5: Solve for x
    x = 171,962,236,707.12/273,175.03
  6. Step 6: Final answer
    x = 629,494.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.