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Finding the Third Proportional to 217,128.38 and 478,428.75

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Solution

The third proportional to 217,128.38 and 478,428.75 is: 1,054,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,128.38 : 478,428.75 = 478,428.75 : x
  2. Step 2: Convert to fraction form
    217,128.38/478,428.75 = 478,428.75/x
  3. Step 3: Cross multiply
    217,128.38x = 478,428.75 × 478,428.75
  4. Step 4: Simplify right side
    217,128.38x = 228,894,068,826.56
  5. Step 5: Solve for x
    x = 228,894,068,826.56/217,128.38
  6. Step 6: Final answer
    x = 1,054,187.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.