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Finding the Third Proportional to 515,932.50 and 772,662.75

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Solution

The third proportional to 515,932.50 and 772,662.75 is: 1,157,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,932.50 : 772,662.75 = 772,662.75 : x
  2. Step 2: Convert to fraction form
    515,932.50/772,662.75 = 772,662.75/x
  3. Step 3: Cross multiply
    515,932.50x = 772,662.75 × 772,662.75
  4. Step 4: Simplify right side
    515,932.50x = 597,007,725,237.56
  5. Step 5: Solve for x
    x = 597,007,725,237.56/515,932.50
  6. Step 6: Final answer
    x = 1,157,143.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.