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Finding the Third Proportional to 408,058 and 573,617

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Solution

The third proportional to 408,058 and 573,617 is: 806,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,058 : 573,617 = 573,617 : x
  2. Step 2: Convert to fraction form
    408,058/573,617 = 573,617/x
  3. Step 3: Cross multiply
    408,058x = 573,617 × 573,617
  4. Step 4: Simplify right side
    408,058x = 329,036,462,689
  5. Step 5: Solve for x
    x = 329,036,462,689/408,058
  6. Step 6: Final answer
    x = 806,347.29

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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.