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Finding the Third Proportional to 222,370.31 and 478,512.56

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Solution

The third proportional to 222,370.31 and 478,512.56 is: 1,029,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,370.31 : 478,512.56 = 478,512.56 : x
  2. Step 2: Convert to fraction form
    222,370.31/478,512.56 = 478,512.56/x
  3. Step 3: Cross multiply
    222,370.31x = 478,512.56 × 478,512.56
  4. Step 4: Simplify right side
    222,370.31x = 228,974,272,470.32
  5. Step 5: Solve for x
    x = 228,974,272,470.32/222,370.31
  6. Step 6: Final answer
    x = 1,029,698.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.