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Finding the Third Proportional to 304,852 and 463,357

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Solution

The third proportional to 304,852 and 463,357 is: 704,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,852 : 463,357 = 463,357 : x
  2. Step 2: Convert to fraction form
    304,852/463,357 = 463,357/x
  3. Step 3: Cross multiply
    304,852x = 463,357 × 463,357
  4. Step 4: Simplify right side
    304,852x = 214,699,709,449
  5. Step 5: Solve for x
    x = 214,699,709,449/304,852
  6. Step 6: Final answer
    x = 704,275.22

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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.