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Finding the Third Proportional to 232,512.94 and 498,240.94

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Solution

The third proportional to 232,512.94 and 498,240.94 is: 1,067,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,512.94 : 498,240.94 = 498,240.94 : x
  2. Step 2: Convert to fraction form
    232,512.94/498,240.94 = 498,240.94/x
  3. Step 3: Cross multiply
    232,512.94x = 498,240.94 × 498,240.94
  4. Step 4: Simplify right side
    232,512.94x = 248,244,031,800.88
  5. Step 5: Solve for x
    x = 248,244,031,800.88/232,512.94
  6. Step 6: Final answer
    x = 1,067,656.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.