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Finding the Third Proportional to 401,500 and 622,050

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Solution

The third proportional to 401,500 and 622,050 is: 963,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,500 : 622,050 = 622,050 : x
  2. Step 2: Convert to fraction form
    401,500/622,050 = 622,050/x
  3. Step 3: Cross multiply
    401,500x = 622,050 × 622,050
  4. Step 4: Simplify right side
    401,500x = 386,946,202,500
  5. Step 5: Solve for x
    x = 386,946,202,500/401,500
  6. Step 6: Final answer
    x = 963,751.44

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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.