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Finding the Third Proportional to 247,776 and 332,912

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Solution

The third proportional to 247,776 and 332,912 is: 447,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,776 : 332,912 = 332,912 : x
  2. Step 2: Convert to fraction form
    247,776/332,912 = 332,912/x
  3. Step 3: Cross multiply
    247,776x = 332,912 × 332,912
  4. Step 4: Simplify right side
    247,776x = 110,830,399,744
  5. Step 5: Solve for x
    x = 110,830,399,744/247,776
  6. Step 6: Final answer
    x = 447,300.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.