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Finding the Third Proportional to 508,183.88 and 743,175

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Solution

The third proportional to 508,183.88 and 743,175 is: 1,086,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,183.88 : 743,175 = 743,175 : x
  2. Step 2: Convert to fraction form
    508,183.88/743,175 = 743,175/x
  3. Step 3: Cross multiply
    508,183.88x = 743,175 × 743,175
  4. Step 4: Simplify right side
    508,183.88x = 552,309,080,625
  5. Step 5: Solve for x
    x = 552,309,080,625/508,183.88
  6. Step 6: Final answer
    x = 1,086,829.21

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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.