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Finding the Third Proportional to 404,835 and 605,022

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Solution

The third proportional to 404,835 and 605,022 is: 904,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,835 : 605,022 = 605,022 : x
  2. Step 2: Convert to fraction form
    404,835/605,022 = 605,022/x
  3. Step 3: Cross multiply
    404,835x = 605,022 × 605,022
  4. Step 4: Simplify right side
    404,835x = 366,051,620,484
  5. Step 5: Solve for x
    x = 366,051,620,484/404,835
  6. Step 6: Final answer
    x = 904,199.54

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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.