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Finding the Third Proportional to 327,644 and 716,848

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Solution

The third proportional to 327,644 and 716,848 is: 1,568,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,644 : 716,848 = 716,848 : x
  2. Step 2: Convert to fraction form
    327,644/716,848 = 716,848/x
  3. Step 3: Cross multiply
    327,644x = 716,848 × 716,848
  4. Step 4: Simplify right side
    327,644x = 513,871,055,104
  5. Step 5: Solve for x
    x = 513,871,055,104/327,644
  6. Step 6: Final answer
    x = 1,568,382.31

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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.