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Finding the Third Proportional to 305,256 and 655,656

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Solution

The third proportional to 305,256 and 655,656 is: 1,408,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,256 : 655,656 = 655,656 : x
  2. Step 2: Convert to fraction form
    305,256/655,656 = 655,656/x
  3. Step 3: Cross multiply
    305,256x = 655,656 × 655,656
  4. Step 4: Simplify right side
    305,256x = 429,884,790,336
  5. Step 5: Solve for x
    x = 429,884,790,336/305,256
  6. Step 6: Final answer
    x = 1,408,276.30

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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.