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Finding the Third Proportional to 407,056.50 and 622,672.75

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Solution

The third proportional to 407,056.50 and 622,672.75 is: 952,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,056.50 : 622,672.75 = 622,672.75 : x
  2. Step 2: Convert to fraction form
    407,056.50/622,672.75 = 622,672.75/x
  3. Step 3: Cross multiply
    407,056.50x = 622,672.75 × 622,672.75
  4. Step 4: Simplify right side
    407,056.50x = 387,721,353,592.56
  5. Step 5: Solve for x
    x = 387,721,353,592.56/407,056.50
  6. Step 6: Final answer
    x = 952,500.09

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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.