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Finding the Third Proportional to 290,006 and 408,399

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Solution

The third proportional to 290,006 and 408,399 is: 575,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,006 : 408,399 = 408,399 : x
  2. Step 2: Convert to fraction form
    290,006/408,399 = 408,399/x
  3. Step 3: Cross multiply
    290,006x = 408,399 × 408,399
  4. Step 4: Simplify right side
    290,006x = 166,789,743,201
  5. Step 5: Solve for x
    x = 166,789,743,201/290,006
  6. Step 6: Final answer
    x = 575,125.15

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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.