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Finding the Third Proportional to 218,760.75 and 478,011.38

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Solution

The third proportional to 218,760.75 and 478,011.38 is: 1,044,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,760.75 : 478,011.38 = 478,011.38 : x
  2. Step 2: Convert to fraction form
    218,760.75/478,011.38 = 478,011.38/x
  3. Step 3: Cross multiply
    218,760.75x = 478,011.38 × 478,011.38
  4. Step 4: Simplify right side
    218,760.75x = 228,494,874,629.39
  5. Step 5: Solve for x
    x = 228,494,874,629.39/218,760.75
  6. Step 6: Final answer
    x = 1,044,496.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.