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Finding the Third Proportional to 386,190.75 and 841,035.75

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Solution

The third proportional to 386,190.75 and 841,035.75 is: 1,831,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,190.75 : 841,035.75 = 841,035.75 : x
  2. Step 2: Convert to fraction form
    386,190.75/841,035.75 = 841,035.75/x
  3. Step 3: Cross multiply
    386,190.75x = 841,035.75 × 841,035.75
  4. Step 4: Simplify right side
    386,190.75x = 707,341,132,778.06
  5. Step 5: Solve for x
    x = 707,341,132,778.06/386,190.75
  6. Step 6: Final answer
    x = 1,831,584.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.