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Finding the Third Proportional to 407,108 and 622,750

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Solution

The third proportional to 407,108 and 622,750 is: 952,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,108 : 622,750 = 622,750 : x
  2. Step 2: Convert to fraction form
    407,108/622,750 = 622,750/x
  3. Step 3: Cross multiply
    407,108x = 622,750 × 622,750
  4. Step 4: Simplify right side
    407,108x = 387,817,562,500
  5. Step 5: Solve for x
    x = 387,817,562,500/407,108
  6. Step 6: Final answer
    x = 952,615.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.