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Finding the Third Proportional to 242,819.44 and 515,228.34

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Solution

The third proportional to 242,819.44 and 515,228.34 is: 1,093,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,819.44 : 515,228.34 = 515,228.34 : x
  2. Step 2: Convert to fraction form
    242,819.44/515,228.34 = 515,228.34/x
  3. Step 3: Cross multiply
    242,819.44x = 515,228.34 × 515,228.34
  4. Step 4: Simplify right side
    242,819.44x = 265,460,246,203.37
  5. Step 5: Solve for x
    x = 265,460,246,203.37/242,819.44
  6. Step 6: Final answer
    x = 1,093,241.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.