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Finding the Third Proportional to 304,848 and 463,351

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Solution

The third proportional to 304,848 and 463,351 is: 704,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,848 : 463,351 = 463,351 : x
  2. Step 2: Convert to fraction form
    304,848/463,351 = 463,351/x
  3. Step 3: Cross multiply
    304,848x = 463,351 × 463,351
  4. Step 4: Simplify right side
    304,848x = 214,694,149,201
  5. Step 5: Solve for x
    x = 214,694,149,201/304,848
  6. Step 6: Final answer
    x = 704,266.22

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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.