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Finding the Third Proportional to 235,986 and 509,538

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Solution

The third proportional to 235,986 and 509,538 is: 1,100,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,986 : 509,538 = 509,538 : x
  2. Step 2: Convert to fraction form
    235,986/509,538 = 509,538/x
  3. Step 3: Cross multiply
    235,986x = 509,538 × 509,538
  4. Step 4: Simplify right side
    235,986x = 259,628,973,444
  5. Step 5: Solve for x
    x = 259,628,973,444/235,986
  6. Step 6: Final answer
    x = 1,100,188.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.