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Finding the Third Proportional to 293,888.44 and 413,860.31

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Solution

The third proportional to 293,888.44 and 413,860.31 is: 582,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,888.44 : 413,860.31 = 413,860.31 : x
  2. Step 2: Convert to fraction form
    293,888.44/413,860.31 = 413,860.31/x
  3. Step 3: Cross multiply
    293,888.44x = 413,860.31 × 413,860.31
  4. Step 4: Simplify right side
    293,888.44x = 171,280,358,262.60
  5. Step 5: Solve for x
    x = 171,280,358,262.60/293,888.44
  6. Step 6: Final answer
    x = 582,807.41

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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.