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Finding the Third Proportional to 367,083 and 516,946

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Solution

The third proportional to 367,083 and 516,946 is: 727,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,083 : 516,946 = 516,946 : x
  2. Step 2: Convert to fraction form
    367,083/516,946 = 516,946/x
  3. Step 3: Cross multiply
    367,083x = 516,946 × 516,946
  4. Step 4: Simplify right side
    367,083x = 267,233,166,916
  5. Step 5: Solve for x
    x = 267,233,166,916/367,083
  6. Step 6: Final answer
    x = 727,991.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.