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Finding the Third Proportional to 344,256 and 754,872

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Solution

The third proportional to 344,256 and 754,872 is: 1,655,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,256 : 754,872 = 754,872 : x
  2. Step 2: Convert to fraction form
    344,256/754,872 = 754,872/x
  3. Step 3: Cross multiply
    344,256x = 754,872 × 754,872
  4. Step 4: Simplify right side
    344,256x = 569,831,736,384
  5. Step 5: Solve for x
    x = 569,831,736,384/344,256
  6. Step 6: Final answer
    x = 1,655,255.79

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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.