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Finding the Third Proportional to 202,213 and 437,589

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Solution

The third proportional to 202,213 and 437,589 is: 946,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,213 : 437,589 = 437,589 : x
  2. Step 2: Convert to fraction form
    202,213/437,589 = 437,589/x
  3. Step 3: Cross multiply
    202,213x = 437,589 × 437,589
  4. Step 4: Simplify right side
    202,213x = 191,484,132,921
  5. Step 5: Solve for x
    x = 191,484,132,921/202,213
  6. Step 6: Final answer
    x = 946,942.74

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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.