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Finding the Third Proportional to 219,033 and 475,243.50

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Solution

The third proportional to 219,033 and 475,243.50 is: 1,031,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,033 : 475,243.50 = 475,243.50 : x
  2. Step 2: Convert to fraction form
    219,033/475,243.50 = 475,243.50/x
  3. Step 3: Cross multiply
    219,033x = 475,243.50 × 475,243.50
  4. Step 4: Simplify right side
    219,033x = 225,856,384,292.25
  5. Step 5: Solve for x
    x = 225,856,384,292.25/219,033
  6. Step 6: Final answer
    x = 1,031,152.31

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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.