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Finding the Third Proportional to 364,863 and 798,449

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Solution

The third proportional to 364,863 and 798,449 is: 1,747,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,863 : 798,449 = 798,449 : x
  2. Step 2: Convert to fraction form
    364,863/798,449 = 798,449/x
  3. Step 3: Cross multiply
    364,863x = 798,449 × 798,449
  4. Step 4: Simplify right side
    364,863x = 637,520,805,601
  5. Step 5: Solve for x
    x = 637,520,805,601/364,863
  6. Step 6: Final answer
    x = 1,747,288.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.