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Finding the Third Proportional to 293,602 and 408,531

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Solution

The third proportional to 293,602 and 408,531 is: 568,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,602 : 408,531 = 408,531 : x
  2. Step 2: Convert to fraction form
    293,602/408,531 = 408,531/x
  3. Step 3: Cross multiply
    293,602x = 408,531 × 408,531
  4. Step 4: Simplify right side
    293,602x = 166,897,577,961
  5. Step 5: Solve for x
    x = 166,897,577,961/293,602
  6. Step 6: Final answer
    x = 568,448.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.