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Finding the Third Proportional to 349,456 and 758,256

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Solution

The third proportional to 349,456 and 758,256 is: 1,645,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456 : 758,256 = 758,256 : x
  2. Step 2: Convert to fraction form
    349,456/758,256 = 758,256/x
  3. Step 3: Cross multiply
    349,456x = 758,256 × 758,256
  4. Step 4: Simplify right side
    349,456x = 574,952,161,536
  5. Step 5: Solve for x
    x = 574,952,161,536/349,456
  6. Step 6: Final answer
    x = 1,645,277.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.