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Finding the Third Proportional to 338,585 and 757,378

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Solution

The third proportional to 338,585 and 757,378 is: 1,694,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,585 : 757,378 = 757,378 : x
  2. Step 2: Convert to fraction form
    338,585/757,378 = 757,378/x
  3. Step 3: Cross multiply
    338,585x = 757,378 × 757,378
  4. Step 4: Simplify right side
    338,585x = 573,621,434,884
  5. Step 5: Solve for x
    x = 573,621,434,884/338,585
  6. Step 6: Final answer
    x = 1,694,172.62

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.