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Finding the Third Proportional to 305,744 and 463,232

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Solution

The third proportional to 305,744 and 463,232 is: 701,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,744 : 463,232 = 463,232 : x
  2. Step 2: Convert to fraction form
    305,744/463,232 = 463,232/x
  3. Step 3: Cross multiply
    305,744x = 463,232 × 463,232
  4. Step 4: Simplify right side
    305,744x = 214,583,885,824
  5. Step 5: Solve for x
    x = 214,583,885,824/305,744
  6. Step 6: Final answer
    x = 701,841.69

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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.