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Finding the Third Proportional to 404,828 and 605,040

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Solution

The third proportional to 404,828 and 605,040 is: 904,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,828 : 605,040 = 605,040 : x
  2. Step 2: Convert to fraction form
    404,828/605,040 = 605,040/x
  3. Step 3: Cross multiply
    404,828x = 605,040 × 605,040
  4. Step 4: Simplify right side
    404,828x = 366,073,401,600
  5. Step 5: Solve for x
    x = 366,073,401,600/404,828
  6. Step 6: Final answer
    x = 904,268.98

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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.