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Finding the Third Proportional to 404,864 and 605,066

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Solution

The third proportional to 404,864 and 605,066 is: 904,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,864 : 605,066 = 605,066 : x
  2. Step 2: Convert to fraction form
    404,864/605,066 = 605,066/x
  3. Step 3: Cross multiply
    404,864x = 605,066 × 605,066
  4. Step 4: Simplify right side
    404,864x = 366,104,864,356
  5. Step 5: Solve for x
    x = 366,104,864,356/404,864
  6. Step 6: Final answer
    x = 904,266.28

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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.