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Finding the Third Proportional to 327,015 and 705,627

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Solution

The third proportional to 327,015 and 705,627 is: 1,522,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,015 : 705,627 = 705,627 : x
  2. Step 2: Convert to fraction form
    327,015/705,627 = 705,627/x
  3. Step 3: Cross multiply
    327,015x = 705,627 × 705,627
  4. Step 4: Simplify right side
    327,015x = 497,909,463,129
  5. Step 5: Solve for x
    x = 497,909,463,129/327,015
  6. Step 6: Final answer
    x = 1,522,589.07

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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.