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Finding the Third Proportional to 324,998 and 724,682

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Solution

The third proportional to 324,998 and 724,682 is: 1,615,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,998 : 724,682 = 724,682 : x
  2. Step 2: Convert to fraction form
    324,998/724,682 = 724,682/x
  3. Step 3: Cross multiply
    324,998x = 724,682 × 724,682
  4. Step 4: Simplify right side
    324,998x = 525,164,001,124
  5. Step 5: Solve for x
    x = 525,164,001,124/324,998
  6. Step 6: Final answer
    x = 1,615,899.18

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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.