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Finding the Third Proportional to 324,120 and 706,722

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Solution

The third proportional to 324,120 and 706,722 is: 1,540,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,120 : 706,722 = 706,722 : x
  2. Step 2: Convert to fraction form
    324,120/706,722 = 706,722/x
  3. Step 3: Cross multiply
    324,120x = 706,722 × 706,722
  4. Step 4: Simplify right side
    324,120x = 499,455,985,284
  5. Step 5: Solve for x
    x = 499,455,985,284/324,120
  6. Step 6: Final answer
    x = 1,540,960.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.