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Finding the Third Proportional to 338,684 and 746,482

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Solution

The third proportional to 338,684 and 746,482 is: 1,645,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,684 : 746,482 = 746,482 : x
  2. Step 2: Convert to fraction form
    338,684/746,482 = 746,482/x
  3. Step 3: Cross multiply
    338,684x = 746,482 × 746,482
  4. Step 4: Simplify right side
    338,684x = 557,235,376,324
  5. Step 5: Solve for x
    x = 557,235,376,324/338,684
  6. Step 6: Final answer
    x = 1,645,295.84

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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.