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Finding the Third Proportional to 250,302 and 536,218

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Solution

The third proportional to 250,302 and 536,218 is: 1,148,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,302 : 536,218 = 536,218 : x
  2. Step 2: Convert to fraction form
    250,302/536,218 = 536,218/x
  3. Step 3: Cross multiply
    250,302x = 536,218 × 536,218
  4. Step 4: Simplify right side
    250,302x = 287,529,743,524
  5. Step 5: Solve for x
    x = 287,529,743,524/250,302
  6. Step 6: Final answer
    x = 1,148,731.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.