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Finding the Third Proportional to 219,747.94 and 475,976.25

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Solution

The third proportional to 219,747.94 and 475,976.25 is: 1,030,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,747.94 : 475,976.25 = 475,976.25 : x
  2. Step 2: Convert to fraction form
    219,747.94/475,976.25 = 475,976.25/x
  3. Step 3: Cross multiply
    219,747.94x = 475,976.25 × 475,976.25
  4. Step 4: Simplify right side
    219,747.94x = 226,553,390,564.06
  5. Step 5: Solve for x
    x = 226,553,390,564.06/219,747.94
  6. Step 6: Final answer
    x = 1,030,969.36

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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.