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Finding the Third Proportional to 395,462.50 and 612,855

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Solution

The third proportional to 395,462.50 and 612,855 is: 949,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,462.50 : 612,855 = 612,855 : x
  2. Step 2: Convert to fraction form
    395,462.50/612,855 = 612,855/x
  3. Step 3: Cross multiply
    395,462.50x = 612,855 × 612,855
  4. Step 4: Simplify right side
    395,462.50x = 375,591,251,025
  5. Step 5: Solve for x
    x = 375,591,251,025/395,462.50
  6. Step 6: Final answer
    x = 949,751.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.