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Finding the Third Proportional to 313,654 and 667,768

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Solution

The third proportional to 313,654 and 667,768 is: 1,421,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,654 : 667,768 = 667,768 : x
  2. Step 2: Convert to fraction form
    313,654/667,768 = 667,768/x
  3. Step 3: Cross multiply
    313,654x = 667,768 × 667,768
  4. Step 4: Simplify right side
    313,654x = 445,914,101,824
  5. Step 5: Solve for x
    x = 445,914,101,824/313,654
  6. Step 6: Final answer
    x = 1,421,675.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.