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Finding the Third Proportional to 202,223 and 437,609

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Solution

The third proportional to 202,223 and 437,609 is: 946,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,223 : 437,609 = 437,609 : x
  2. Step 2: Convert to fraction form
    202,223/437,609 = 437,609/x
  3. Step 3: Cross multiply
    202,223x = 437,609 × 437,609
  4. Step 4: Simplify right side
    202,223x = 191,501,636,881
  5. Step 5: Solve for x
    x = 191,501,636,881/202,223
  6. Step 6: Final answer
    x = 946,982.47

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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.