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Finding the Third Proportional to 474,444 and 733,837.50

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Solution

The third proportional to 474,444 and 733,837.50 is: 1,135,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,444 : 733,837.50 = 733,837.50 : x
  2. Step 2: Convert to fraction form
    474,444/733,837.50 = 733,837.50/x
  3. Step 3: Cross multiply
    474,444x = 733,837.50 × 733,837.50
  4. Step 4: Simplify right side
    474,444x = 538,517,476,406.25
  5. Step 5: Solve for x
    x = 538,517,476,406.25/474,444
  6. Step 6: Final answer
    x = 1,135,049.61

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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.