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Finding the Third Proportional to 236,150 and 509,452

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Solution

The third proportional to 236,150 and 509,452 is: 1,099,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,150 : 509,452 = 509,452 : x
  2. Step 2: Convert to fraction form
    236,150/509,452 = 509,452/x
  3. Step 3: Cross multiply
    236,150x = 509,452 × 509,452
  4. Step 4: Simplify right side
    236,150x = 259,541,340,304
  5. Step 5: Solve for x
    x = 259,541,340,304/236,150
  6. Step 6: Final answer
    x = 1,099,052.89

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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.