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Finding the Third Proportional to 299,422 and 640,332

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Solution

The third proportional to 299,422 and 640,332 is: 1,369,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,422 : 640,332 = 640,332 : x
  2. Step 2: Convert to fraction form
    299,422/640,332 = 640,332/x
  3. Step 3: Cross multiply
    299,422x = 640,332 × 640,332
  4. Step 4: Simplify right side
    299,422x = 410,025,070,224
  5. Step 5: Solve for x
    x = 410,025,070,224/299,422
  6. Step 6: Final answer
    x = 1,369,388.59

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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.