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Finding the Third Proportional to 327,024 and 705,644

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Solution

The third proportional to 327,024 and 705,644 is: 1,522,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,024 : 705,644 = 705,644 : x
  2. Step 2: Convert to fraction form
    327,024/705,644 = 705,644/x
  3. Step 3: Cross multiply
    327,024x = 705,644 × 705,644
  4. Step 4: Simplify right side
    327,024x = 497,933,454,736
  5. Step 5: Solve for x
    x = 497,933,454,736/327,024
  6. Step 6: Final answer
    x = 1,522,620.53

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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.