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Finding the Third Proportional to 219,668.20 and 475,968.66

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Solution

The third proportional to 219,668.20 and 475,968.66 is: 1,031,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,668.20 : 475,968.66 = 475,968.66 : x
  2. Step 2: Convert to fraction form
    219,668.20/475,968.66 = 475,968.66/x
  3. Step 3: Cross multiply
    219,668.20x = 475,968.66 × 475,968.66
  4. Step 4: Simplify right side
    219,668.20x = 226,546,161,732.43
  5. Step 5: Solve for x
    x = 226,546,161,732.43/219,668.20
  6. Step 6: Final answer
    x = 1,031,310.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.