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Finding the Third Proportional to 305,734 and 463,218

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Solution

The third proportional to 305,734 and 463,218 is: 701,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,734 : 463,218 = 463,218 : x
  2. Step 2: Convert to fraction form
    305,734/463,218 = 463,218/x
  3. Step 3: Cross multiply
    305,734x = 463,218 × 463,218
  4. Step 4: Simplify right side
    305,734x = 214,570,915,524
  5. Step 5: Solve for x
    x = 214,570,915,524/305,734
  6. Step 6: Final answer
    x = 701,822.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.