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Finding the Third Proportional to 367,047 and 516,892.50

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Solution

The third proportional to 367,047 and 516,892.50 is: 727,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,047 : 516,892.50 = 516,892.50 : x
  2. Step 2: Convert to fraction form
    367,047/516,892.50 = 516,892.50/x
  3. Step 3: Cross multiply
    367,047x = 516,892.50 × 516,892.50
  4. Step 4: Simplify right side
    367,047x = 267,177,856,556.25
  5. Step 5: Solve for x
    x = 267,177,856,556.25/367,047
  6. Step 6: Final answer
    x = 727,911.84

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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.