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Finding the Third Proportional to 324,667 and 711,600

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Solution

The third proportional to 324,667 and 711,600 is: 1,559,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,667 : 711,600 = 711,600 : x
  2. Step 2: Convert to fraction form
    324,667/711,600 = 711,600/x
  3. Step 3: Cross multiply
    324,667x = 711,600 × 711,600
  4. Step 4: Simplify right side
    324,667x = 506,374,560,000
  5. Step 5: Solve for x
    x = 506,374,560,000/324,667
  6. Step 6: Final answer
    x = 1,559,673.63

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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.