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Finding the Third Proportional to 327,216 and 705,984

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Solution

The third proportional to 327,216 and 705,984 is: 1,523,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,216 : 705,984 = 705,984 : x
  2. Step 2: Convert to fraction form
    327,216/705,984 = 705,984/x
  3. Step 3: Cross multiply
    327,216x = 705,984 × 705,984
  4. Step 4: Simplify right side
    327,216x = 498,413,408,256
  5. Step 5: Solve for x
    x = 498,413,408,256/327,216
  6. Step 6: Final answer
    x = 1,523,193.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.