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Finding the Third Proportional to 401,760 and 621,648

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Solution

The third proportional to 401,760 and 621,648 is: 961,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,760 : 621,648 = 621,648 : x
  2. Step 2: Convert to fraction form
    401,760/621,648 = 621,648/x
  3. Step 3: Cross multiply
    401,760x = 621,648 × 621,648
  4. Step 4: Simplify right side
    401,760x = 386,446,235,904
  5. Step 5: Solve for x
    x = 386,446,235,904/401,760
  6. Step 6: Final answer
    x = 961,883.30

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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.