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Finding the Third Proportional to 408,058 and 573,619

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Solution

The third proportional to 408,058 and 573,619 is: 806,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,058 : 573,619 = 573,619 : x
  2. Step 2: Convert to fraction form
    408,058/573,619 = 573,619/x
  3. Step 3: Cross multiply
    408,058x = 573,619 × 573,619
  4. Step 4: Simplify right side
    408,058x = 329,038,757,161
  5. Step 5: Solve for x
    x = 329,038,757,161/408,058
  6. Step 6: Final answer
    x = 806,352.91

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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.