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Finding the Third Proportional to 304,517 and 655,694

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Solution

The third proportional to 304,517 and 655,694 is: 1,411,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,517 : 655,694 = 655,694 : x
  2. Step 2: Convert to fraction form
    304,517/655,694 = 655,694/x
  3. Step 3: Cross multiply
    304,517x = 655,694 × 655,694
  4. Step 4: Simplify right side
    304,517x = 429,934,621,636
  5. Step 5: Solve for x
    x = 429,934,621,636/304,517
  6. Step 6: Final answer
    x = 1,411,857.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.