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Finding the Third Proportional to 338,962 and 746,020

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Solution

The third proportional to 338,962 and 746,020 is: 1,641,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,962 : 746,020 = 746,020 : x
  2. Step 2: Convert to fraction form
    338,962/746,020 = 746,020/x
  3. Step 3: Cross multiply
    338,962x = 746,020 × 746,020
  4. Step 4: Simplify right side
    338,962x = 556,545,840,400
  5. Step 5: Solve for x
    x = 556,545,840,400/338,962
  6. Step 6: Final answer
    x = 1,641,912.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.