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Finding the Third Proportional to 299,424 and 640,336

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Solution

The third proportional to 299,424 and 640,336 is: 1,369,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,424 : 640,336 = 640,336 : x
  2. Step 2: Convert to fraction form
    299,424/640,336 = 640,336/x
  3. Step 3: Cross multiply
    299,424x = 640,336 × 640,336
  4. Step 4: Simplify right side
    299,424x = 410,030,192,896
  5. Step 5: Solve for x
    x = 410,030,192,896/299,424
  6. Step 6: Final answer
    x = 1,369,396.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.