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Finding the Third Proportional to 513,684.38 and 818,093.63

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Solution

The third proportional to 513,684.38 and 818,093.63 is: 1,302,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,684.38 : 818,093.63 = 818,093.63 : x
  2. Step 2: Convert to fraction form
    513,684.38/818,093.63 = 818,093.63/x
  3. Step 3: Cross multiply
    513,684.38x = 818,093.63 × 818,093.63
  4. Step 4: Simplify right side
    513,684.38x = 669,277,179,265.64
  5. Step 5: Solve for x
    x = 669,277,179,265.64/513,684.38
  6. Step 6: Final answer
    x = 1,302,895.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.