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Finding the Third Proportional to 327,776.63 and 715,128.75

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Solution

The third proportional to 327,776.63 and 715,128.75 is: 1,560,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,776.63 : 715,128.75 = 715,128.75 : x
  2. Step 2: Convert to fraction form
    327,776.63/715,128.75 = 715,128.75/x
  3. Step 3: Cross multiply
    327,776.63x = 715,128.75 × 715,128.75
  4. Step 4: Simplify right side
    327,776.63x = 511,409,129,076.56
  5. Step 5: Solve for x
    x = 511,409,129,076.56/327,776.63
  6. Step 6: Final answer
    x = 1,560,236.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.