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Finding the Third Proportional to 236,725 and 509,539

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Solution

The third proportional to 236,725 and 509,539 is: 1,096,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,725 : 509,539 = 509,539 : x
  2. Step 2: Convert to fraction form
    236,725/509,539 = 509,539/x
  3. Step 3: Cross multiply
    236,725x = 509,539 × 509,539
  4. Step 4: Simplify right side
    236,725x = 259,629,992,521
  5. Step 5: Solve for x
    x = 259,629,992,521/236,725
  6. Step 6: Final answer
    x = 1,096,757.81

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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.