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Finding the Third Proportional to 401,931 and 622,071

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Solution

The third proportional to 401,931 and 622,071 is: 962,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,931 : 622,071 = 622,071 : x
  2. Step 2: Convert to fraction form
    401,931/622,071 = 622,071/x
  3. Step 3: Cross multiply
    401,931x = 622,071 × 622,071
  4. Step 4: Simplify right side
    401,931x = 386,972,329,041
  5. Step 5: Solve for x
    x = 386,972,329,041/401,931
  6. Step 6: Final answer
    x = 962,782.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.