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Finding the Third Proportional to 299,648 and 643,764

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Solution

The third proportional to 299,648 and 643,764 is: 1,383,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,648 : 643,764 = 643,764 : x
  2. Step 2: Convert to fraction form
    299,648/643,764 = 643,764/x
  3. Step 3: Cross multiply
    299,648x = 643,764 × 643,764
  4. Step 4: Simplify right side
    299,648x = 414,432,087,696
  5. Step 5: Solve for x
    x = 414,432,087,696/299,648
  6. Step 6: Final answer
    x = 1,383,063.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.