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Finding the Third Proportional to 338,732 and 743,886

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Solution

The third proportional to 338,732 and 743,886 is: 1,633,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,732 : 743,886 = 743,886 : x
  2. Step 2: Convert to fraction form
    338,732/743,886 = 743,886/x
  3. Step 3: Cross multiply
    338,732x = 743,886 × 743,886
  4. Step 4: Simplify right side
    338,732x = 553,366,380,996
  5. Step 5: Solve for x
    x = 553,366,380,996/338,732
  6. Step 6: Final answer
    x = 1,633,640.70

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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.