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Finding the Third Proportional to 202,527 and 436,218

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Solution

The third proportional to 202,527 and 436,218 is: 939,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,527 : 436,218 = 436,218 : x
  2. Step 2: Convert to fraction form
    202,527/436,218 = 436,218/x
  3. Step 3: Cross multiply
    202,527x = 436,218 × 436,218
  4. Step 4: Simplify right side
    202,527x = 190,286,143,524
  5. Step 5: Solve for x
    x = 190,286,143,524/202,527
  6. Step 6: Final answer
    x = 939,559.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.