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Finding the Third Proportional to 304,844 and 463,345

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Solution

The third proportional to 304,844 and 463,345 is: 704,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,844 : 463,345 = 463,345 : x
  2. Step 2: Convert to fraction form
    304,844/463,345 = 463,345/x
  3. Step 3: Cross multiply
    304,844x = 463,345 × 463,345
  4. Step 4: Simplify right side
    304,844x = 214,688,589,025
  5. Step 5: Solve for x
    x = 214,688,589,025/304,844
  6. Step 6: Final answer
    x = 704,257.22

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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.