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Finding the Third Proportional to 338,022 and 734,436

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Solution

The third proportional to 338,022 and 734,436 is: 1,595,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,022 : 734,436 = 734,436 : x
  2. Step 2: Convert to fraction form
    338,022/734,436 = 734,436/x
  3. Step 3: Cross multiply
    338,022x = 734,436 × 734,436
  4. Step 4: Simplify right side
    338,022x = 539,396,238,096
  5. Step 5: Solve for x
    x = 539,396,238,096/338,022
  6. Step 6: Final answer
    x = 1,595,742.99

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Why These Related Problems?

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