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Finding the Third Proportional to 250,571 and 362,032

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Solution

The third proportional to 250,571 and 362,032 is: 523,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,571 : 362,032 = 362,032 : x
  2. Step 2: Convert to fraction form
    250,571/362,032 = 362,032/x
  3. Step 3: Cross multiply
    250,571x = 362,032 × 362,032
  4. Step 4: Simplify right side
    250,571x = 131,067,169,024
  5. Step 5: Solve for x
    x = 131,067,169,024/250,571
  6. Step 6: Final answer
    x = 523,073.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.