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Finding the Third Proportional to 367,087 and 516,947

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Solution

The third proportional to 367,087 and 516,947 is: 727,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,087 : 516,947 = 516,947 : x
  2. Step 2: Convert to fraction form
    367,087/516,947 = 516,947/x
  3. Step 3: Cross multiply
    367,087x = 516,947 × 516,947
  4. Step 4: Simplify right side
    367,087x = 267,234,200,809
  5. Step 5: Solve for x
    x = 267,234,200,809/367,087
  6. Step 6: Final answer
    x = 727,986.01

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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.