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Finding the Third Proportional to 415,212.75 and 622,819.13

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Solution

The third proportional to 415,212.75 and 622,819.13 is: 934,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212.75 : 622,819.13 = 622,819.13 : x
  2. Step 2: Convert to fraction form
    415,212.75/622,819.13 = 622,819.13/x
  3. Step 3: Cross multiply
    415,212.75x = 622,819.13 × 622,819.13
  4. Step 4: Simplify right side
    415,212.75x = 387,903,662,465.77
  5. Step 5: Solve for x
    x = 387,903,662,465.77/415,212.75
  6. Step 6: Final answer
    x = 934,228.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.