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Finding the Third Proportional to 432,016.50 and 959,923.50

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Solution

The third proportional to 432,016.50 and 959,923.50 is: 2,132,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,016.50 : 959,923.50 = 959,923.50 : x
  2. Step 2: Convert to fraction form
    432,016.50/959,923.50 = 959,923.50/x
  3. Step 3: Cross multiply
    432,016.50x = 959,923.50 × 959,923.50
  4. Step 4: Simplify right side
    432,016.50x = 921,453,125,852.25
  5. Step 5: Solve for x
    x = 921,453,125,852.25/432,016.50
  6. Step 6: Final answer
    x = 2,132,911.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.