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Finding the Third Proportional to 401,129.50 and 880,979

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Solution

The third proportional to 401,129.50 and 880,979 is: 1,934,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,129.50 : 880,979 = 880,979 : x
  2. Step 2: Convert to fraction form
    401,129.50/880,979 = 880,979/x
  3. Step 3: Cross multiply
    401,129.50x = 880,979 × 880,979
  4. Step 4: Simplify right side
    401,129.50x = 776,123,998,441
  5. Step 5: Solve for x
    x = 776,123,998,441/401,129.50
  6. Step 6: Final answer
    x = 1,934,846.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.