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Finding the Third Proportional to 515,183.50 and 788,074

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Solution

The third proportional to 515,183.50 and 788,074 is: 1,205,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,183.50 : 788,074 = 788,074 : x
  2. Step 2: Convert to fraction form
    515,183.50/788,074 = 788,074/x
  3. Step 3: Cross multiply
    515,183.50x = 788,074 × 788,074
  4. Step 4: Simplify right side
    515,183.50x = 621,060,629,476
  5. Step 5: Solve for x
    x = 621,060,629,476/515,183.50
  6. Step 6: Final answer
    x = 1,205,513.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.