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Finding the Third Proportional to 293,580 and 408,498

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Solution

The third proportional to 293,580 and 408,498 is: 568,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,580 : 408,498 = 408,498 : x
  2. Step 2: Convert to fraction form
    293,580/408,498 = 408,498/x
  3. Step 3: Cross multiply
    293,580x = 408,498 × 408,498
  4. Step 4: Simplify right side
    293,580x = 166,870,616,004
  5. Step 5: Solve for x
    x = 166,870,616,004/293,580
  6. Step 6: Final answer
    x = 568,399.13

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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.