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Finding the Third Proportional to 367,025 and 516,847

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Solution

The third proportional to 367,025 and 516,847 is: 727,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,025 : 516,847 = 516,847 : x
  2. Step 2: Convert to fraction form
    367,025/516,847 = 516,847/x
  3. Step 3: Cross multiply
    367,025x = 516,847 × 516,847
  4. Step 4: Simplify right side
    367,025x = 267,130,821,409
  5. Step 5: Solve for x
    x = 267,130,821,409/367,025
  6. Step 6: Final answer
    x = 727,827.32

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Why These Related Problems?

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