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Finding the Third Proportional to 395,238 and 591,772.50

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Solution

The third proportional to 395,238 and 591,772.50 is: 886,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,238 : 591,772.50 = 591,772.50 : x
  2. Step 2: Convert to fraction form
    395,238/591,772.50 = 591,772.50/x
  3. Step 3: Cross multiply
    395,238x = 591,772.50 × 591,772.50
  4. Step 4: Simplify right side
    395,238x = 350,194,691,756.25
  5. Step 5: Solve for x
    x = 350,194,691,756.25/395,238
  6. Step 6: Final answer
    x = 886,034.98

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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.