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Finding the Third Proportional to 293,885.81 and 413,856.38

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Solution

The third proportional to 293,885.81 and 413,856.38 is: 582,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,885.81 : 413,856.38 = 413,856.38 : x
  2. Step 2: Convert to fraction form
    293,885.81/413,856.38 = 413,856.38/x
  3. Step 3: Cross multiply
    293,885.81x = 413,856.38 × 413,856.38
  4. Step 4: Simplify right side
    293,885.81x = 171,277,099,128.14
  5. Step 5: Solve for x
    x = 171,277,099,128.14/293,885.81
  6. Step 6: Final answer
    x = 582,801.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.