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Finding the Third Proportional to 404,853 and 605,049

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Solution

The third proportional to 404,853 and 605,049 is: 904,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,853 : 605,049 = 605,049 : x
  2. Step 2: Convert to fraction form
    404,853/605,049 = 605,049/x
  3. Step 3: Cross multiply
    404,853x = 605,049 × 605,049
  4. Step 4: Simplify right side
    404,853x = 366,084,292,401
  5. Step 5: Solve for x
    x = 366,084,292,401/404,853
  6. Step 6: Final answer
    x = 904,240.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.