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Finding the Third Proportional to 293,584 and 408,504

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Solution

The third proportional to 293,584 and 408,504 is: 568,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,584 : 408,504 = 408,504 : x
  2. Step 2: Convert to fraction form
    293,584/408,504 = 408,504/x
  3. Step 3: Cross multiply
    293,584x = 408,504 × 408,504
  4. Step 4: Simplify right side
    293,584x = 166,875,518,016
  5. Step 5: Solve for x
    x = 166,875,518,016/293,584
  6. Step 6: Final answer
    x = 568,408.08

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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.