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Finding the Third Proportional to 331,113 and 512,585.25

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Solution

The third proportional to 331,113 and 512,585.25 is: 793,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,113 : 512,585.25 = 512,585.25 : x
  2. Step 2: Convert to fraction form
    331,113/512,585.25 = 512,585.25/x
  3. Step 3: Cross multiply
    331,113x = 512,585.25 × 512,585.25
  4. Step 4: Simplify right side
    331,113x = 262,743,638,517.56
  5. Step 5: Solve for x
    x = 262,743,638,517.56/331,113
  6. Step 6: Final answer
    x = 793,516.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.