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Finding the Third Proportional to 338,847 and 736,716

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Solution

The third proportional to 338,847 and 736,716 is: 1,601,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,847 : 736,716 = 736,716 : x
  2. Step 2: Convert to fraction form
    338,847/736,716 = 736,716/x
  3. Step 3: Cross multiply
    338,847x = 736,716 × 736,716
  4. Step 4: Simplify right side
    338,847x = 542,750,464,656
  5. Step 5: Solve for x
    x = 542,750,464,656/338,847
  6. Step 6: Final answer
    x = 1,601,756.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.