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Finding the Third Proportional to 236,611 and 516,042

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Solution

The third proportional to 236,611 and 516,042 is: 1,125,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,611 : 516,042 = 516,042 : x
  2. Step 2: Convert to fraction form
    236,611/516,042 = 516,042/x
  3. Step 3: Cross multiply
    236,611x = 516,042 × 516,042
  4. Step 4: Simplify right side
    236,611x = 266,299,345,764
  5. Step 5: Solve for x
    x = 266,299,345,764/236,611
  6. Step 6: Final answer
    x = 1,125,473.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.