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Finding the Third Proportional to 220,367.25 and 475,726.50

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Solution

The third proportional to 220,367.25 and 475,726.50 is: 1,026,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,367.25 : 475,726.50 = 475,726.50 : x
  2. Step 2: Convert to fraction form
    220,367.25/475,726.50 = 475,726.50/x
  3. Step 3: Cross multiply
    220,367.25x = 475,726.50 × 475,726.50
  4. Step 4: Simplify right side
    220,367.25x = 226,315,702,802.25
  5. Step 5: Solve for x
    x = 226,315,702,802.25/220,367.25
  6. Step 6: Final answer
    x = 1,026,993.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.