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Finding the Third Proportional to 239,914 and 516,152

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Solution

The third proportional to 239,914 and 516,152 is: 1,110,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,914 : 516,152 = 516,152 : x
  2. Step 2: Convert to fraction form
    239,914/516,152 = 516,152/x
  3. Step 3: Cross multiply
    239,914x = 516,152 × 516,152
  4. Step 4: Simplify right side
    239,914x = 266,412,887,104
  5. Step 5: Solve for x
    x = 266,412,887,104/239,914
  6. Step 6: Final answer
    x = 1,110,451.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.