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Finding the Third Proportional to 207,223.31 and 457,999.31

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Solution

The third proportional to 207,223.31 and 457,999.31 is: 1,012,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,223.31 : 457,999.31 = 457,999.31 : x
  2. Step 2: Convert to fraction form
    207,223.31/457,999.31 = 457,999.31/x
  3. Step 3: Cross multiply
    207,223.31x = 457,999.31 × 457,999.31
  4. Step 4: Simplify right side
    207,223.31x = 209,763,370,250.47
  5. Step 5: Solve for x
    x = 209,763,370,250.47/207,223.31
  6. Step 6: Final answer
    x = 1,012,257.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.