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Finding the Third Proportional to 324,918 and 724,544.16

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Solution

The third proportional to 324,918 and 724,544.16 is: 1,615,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,918 : 724,544.16 = 724,544.16 : x
  2. Step 2: Convert to fraction form
    324,918/724,544.16 = 724,544.16/x
  3. Step 3: Cross multiply
    324,918x = 724,544.16 × 724,544.16
  4. Step 4: Simplify right side
    324,918x = 524,964,234,356.02
  5. Step 5: Solve for x
    x = 524,964,234,356.02/324,918
  6. Step 6: Final answer
    x = 1,615,682.22

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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.