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Finding the Third Proportional to 332,820.56 and 728,996.63

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Solution

The third proportional to 332,820.56 and 728,996.63 is: 1,596,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,820.56 : 728,996.63 = 728,996.63 : x
  2. Step 2: Convert to fraction form
    332,820.56/728,996.63 = 728,996.63/x
  3. Step 3: Cross multiply
    332,820.56x = 728,996.63 × 728,996.63
  4. Step 4: Simplify right side
    332,820.56x = 531,436,079,261.39
  5. Step 5: Solve for x
    x = 531,436,079,261.39/332,820.56
  6. Step 6: Final answer
    x = 1,596,764.56

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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.