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Finding the Third Proportional to 235,722 and 509,100

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Solution

The third proportional to 235,722 and 509,100 is: 1,099,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,722 : 509,100 = 509,100 : x
  2. Step 2: Convert to fraction form
    235,722/509,100 = 509,100/x
  3. Step 3: Cross multiply
    235,722x = 509,100 × 509,100
  4. Step 4: Simplify right side
    235,722x = 259,182,810,000
  5. Step 5: Solve for x
    x = 259,182,810,000/235,722
  6. Step 6: Final answer
    x = 1,099,527.45

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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.