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Finding the Third Proportional to 304,832 and 463,327

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Solution

The third proportional to 304,832 and 463,327 is: 704,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,832 : 463,327 = 463,327 : x
  2. Step 2: Convert to fraction form
    304,832/463,327 = 463,327/x
  3. Step 3: Cross multiply
    304,832x = 463,327 × 463,327
  4. Step 4: Simplify right side
    304,832x = 214,671,908,929
  5. Step 5: Solve for x
    x = 214,671,908,929/304,832
  6. Step 6: Final answer
    x = 704,230.23

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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.