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Finding the Third Proportional to 363,683.25 and 791,457.75

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Solution

The third proportional to 363,683.25 and 791,457.75 is: 1,722,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,683.25 : 791,457.75 = 791,457.75 : x
  2. Step 2: Convert to fraction form
    363,683.25/791,457.75 = 791,457.75/x
  3. Step 3: Cross multiply
    363,683.25x = 791,457.75 × 791,457.75
  4. Step 4: Simplify right side
    363,683.25x = 626,405,370,035.06
  5. Step 5: Solve for x
    x = 626,405,370,035.06/363,683.25
  6. Step 6: Final answer
    x = 1,722,392.69

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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.