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Finding the Third Proportional to 324,993 and 724,671

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Solution

The third proportional to 324,993 and 724,671 is: 1,615,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,993 : 724,671 = 724,671 : x
  2. Step 2: Convert to fraction form
    324,993/724,671 = 724,671/x
  3. Step 3: Cross multiply
    324,993x = 724,671 × 724,671
  4. Step 4: Simplify right side
    324,993x = 525,148,058,241
  5. Step 5: Solve for x
    x = 525,148,058,241/324,993
  6. Step 6: Final answer
    x = 1,615,874.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.