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Finding the Third Proportional to 301,214.06 and 401,573.81

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Solution

The third proportional to 301,214.06 and 401,573.81 is: 535,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,214.06 : 401,573.81 = 401,573.81 : x
  2. Step 2: Convert to fraction form
    301,214.06/401,573.81 = 401,573.81/x
  3. Step 3: Cross multiply
    301,214.06x = 401,573.81 × 401,573.81
  4. Step 4: Simplify right side
    301,214.06x = 161,261,526,885.79
  5. Step 5: Solve for x
    x = 161,261,526,885.79/301,214.06
  6. Step 6: Final answer
    x = 535,371.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.