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Finding the Third Proportional to 401,832 and 606,824

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Solution

The third proportional to 401,832 and 606,824 is: 916,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,832 : 606,824 = 606,824 : x
  2. Step 2: Convert to fraction form
    401,832/606,824 = 606,824/x
  3. Step 3: Cross multiply
    401,832x = 606,824 × 606,824
  4. Step 4: Simplify right side
    401,832x = 368,235,366,976
  5. Step 5: Solve for x
    x = 368,235,366,976/401,832
  6. Step 6: Final answer
    x = 916,391.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.