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Finding the Third Proportional to 324,994 and 724,673

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Solution

The third proportional to 324,994 and 724,673 is: 1,615,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,994 : 724,673 = 724,673 : x
  2. Step 2: Convert to fraction form
    324,994/724,673 = 724,673/x
  3. Step 3: Cross multiply
    324,994x = 724,673 × 724,673
  4. Step 4: Simplify right side
    324,994x = 525,150,956,929
  5. Step 5: Solve for x
    x = 525,150,956,929/324,994
  6. Step 6: Final answer
    x = 1,615,878.93

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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.