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Finding the Third Proportional to 347,049 and 773,853

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Solution

The third proportional to 347,049 and 773,853 is: 1,725,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,049 : 773,853 = 773,853 : x
  2. Step 2: Convert to fraction form
    347,049/773,853 = 773,853/x
  3. Step 3: Cross multiply
    347,049x = 773,853 × 773,853
  4. Step 4: Simplify right side
    347,049x = 598,848,465,609
  5. Step 5: Solve for x
    x = 598,848,465,609/347,049
  6. Step 6: Final answer
    x = 1,725,544.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.