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Finding the Third Proportional to 367,097 and 516,962

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Solution

The third proportional to 367,097 and 516,962 is: 728,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,097 : 516,962 = 516,962 : x
  2. Step 2: Convert to fraction form
    367,097/516,962 = 516,962/x
  3. Step 3: Cross multiply
    367,097x = 516,962 × 516,962
  4. Step 4: Simplify right side
    367,097x = 267,249,709,444
  5. Step 5: Solve for x
    x = 267,249,709,444/367,097
  6. Step 6: Final answer
    x = 728,008.43

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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.