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Finding the Third Proportional to 344,679 and 753,366

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Solution

The third proportional to 344,679 and 753,366 is: 1,646,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,679 : 753,366 = 753,366 : x
  2. Step 2: Convert to fraction form
    344,679/753,366 = 753,366/x
  3. Step 3: Cross multiply
    344,679x = 753,366 × 753,366
  4. Step 4: Simplify right side
    344,679x = 567,560,329,956
  5. Step 5: Solve for x
    x = 567,560,329,956/344,679
  6. Step 6: Final answer
    x = 1,646,634.49

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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.