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Finding the Third Proportional to 337,986 and 719,010

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Solution

The third proportional to 337,986 and 719,010 is: 1,529,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,986 : 719,010 = 719,010 : x
  2. Step 2: Convert to fraction form
    337,986/719,010 = 719,010/x
  3. Step 3: Cross multiply
    337,986x = 719,010 × 719,010
  4. Step 4: Simplify right side
    337,986x = 516,975,380,100
  5. Step 5: Solve for x
    x = 516,975,380,100/337,986
  6. Step 6: Final answer
    x = 1,529,576.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.