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Finding the Third Proportional to 345,014 and 475,092

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Solution

The third proportional to 345,014 and 475,092 is: 654,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,014 : 475,092 = 475,092 : x
  2. Step 2: Convert to fraction form
    345,014/475,092 = 475,092/x
  3. Step 3: Cross multiply
    345,014x = 475,092 × 475,092
  4. Step 4: Simplify right side
    345,014x = 225,712,408,464
  5. Step 5: Solve for x
    x = 225,712,408,464/345,014
  6. Step 6: Final answer
    x = 654,212.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.