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Finding the Third Proportional to 299,482 and 655,232

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Solution

The third proportional to 299,482 and 655,232 is: 1,433,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482 : 655,232 = 655,232 : x
  2. Step 2: Convert to fraction form
    299,482/655,232 = 655,232/x
  3. Step 3: Cross multiply
    299,482x = 655,232 × 655,232
  4. Step 4: Simplify right side
    299,482x = 429,328,973,824
  5. Step 5: Solve for x
    x = 429,328,973,824/299,482
  6. Step 6: Final answer
    x = 1,433,571.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.