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Finding the Third Proportional to 299,544 and 645,744

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Solution

The third proportional to 299,544 and 645,744 is: 1,392,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,544 : 645,744 = 645,744 : x
  2. Step 2: Convert to fraction form
    299,544/645,744 = 645,744/x
  3. Step 3: Cross multiply
    299,544x = 645,744 × 645,744
  4. Step 4: Simplify right side
    299,544x = 416,985,313,536
  5. Step 5: Solve for x
    x = 416,985,313,536/299,544
  6. Step 6: Final answer
    x = 1,392,066.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.