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Finding the Third Proportional to 219,011.34 and 475,201.69

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Solution

The third proportional to 219,011.34 and 475,201.69 is: 1,031,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,011.34 : 475,201.69 = 475,201.69 : x
  2. Step 2: Convert to fraction form
    219,011.34/475,201.69 = 475,201.69/x
  3. Step 3: Cross multiply
    219,011.34x = 475,201.69 × 475,201.69
  4. Step 4: Simplify right side
    219,011.34x = 225,816,643,802.85
  5. Step 5: Solve for x
    x = 225,816,643,802.85/219,011.34
  6. Step 6: Final answer
    x = 1,031,072.82

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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.