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Finding the Third Proportional to 350,911.13 and 531,321.75

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Solution

The third proportional to 350,911.13 and 531,321.75 is: 804,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,911.13 : 531,321.75 = 531,321.75 : x
  2. Step 2: Convert to fraction form
    350,911.13/531,321.75 = 531,321.75/x
  3. Step 3: Cross multiply
    350,911.13x = 531,321.75 × 531,321.75
  4. Step 4: Simplify right side
    350,911.13x = 282,302,802,023.06
  5. Step 5: Solve for x
    x = 282,302,802,023.06/350,911.13
  6. Step 6: Final answer
    x = 804,485.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.