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Finding the Third Proportional to 234,601.31 and 512,207.93

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Solution

The third proportional to 234,601.31 and 512,207.93 is: 1,118,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,601.31 : 512,207.93 = 512,207.93 : x
  2. Step 2: Convert to fraction form
    234,601.31/512,207.93 = 512,207.93/x
  3. Step 3: Cross multiply
    234,601.31x = 512,207.93 × 512,207.93
  4. Step 4: Simplify right side
    234,601.31x = 262,356,963,234.76
  5. Step 5: Solve for x
    x = 262,356,963,234.76/234,601.31
  6. Step 6: Final answer
    x = 1,118,309.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.