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Finding the Third Proportional to 325,002 and 724,690

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Solution

The third proportional to 325,002 and 724,690 is: 1,615,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,002 : 724,690 = 724,690 : x
  2. Step 2: Convert to fraction form
    325,002/724,690 = 724,690/x
  3. Step 3: Cross multiply
    325,002x = 724,690 × 724,690
  4. Step 4: Simplify right side
    325,002x = 525,175,596,100
  5. Step 5: Solve for x
    x = 525,175,596,100/325,002
  6. Step 6: Final answer
    x = 1,615,914.97

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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.