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Finding the Third Proportional to 324,121 and 700,173

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Solution

The third proportional to 324,121 and 700,173 is: 1,512,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,121 : 700,173 = 700,173 : x
  2. Step 2: Convert to fraction form
    324,121/700,173 = 700,173/x
  3. Step 3: Cross multiply
    324,121x = 700,173 × 700,173
  4. Step 4: Simplify right side
    324,121x = 490,242,229,929
  5. Step 5: Solve for x
    x = 490,242,229,929/324,121
  6. Step 6: Final answer
    x = 1,512,528.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.