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Finding the Third Proportional to 324,512 and 710,198

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Solution

The third proportional to 324,512 and 710,198 is: 1,554,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,512 : 710,198 = 710,198 : x
  2. Step 2: Convert to fraction form
    324,512/710,198 = 710,198/x
  3. Step 3: Cross multiply
    324,512x = 710,198 × 710,198
  4. Step 4: Simplify right side
    324,512x = 504,381,199,204
  5. Step 5: Solve for x
    x = 504,381,199,204/324,512
  6. Step 6: Final answer
    x = 1,554,275.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.