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Finding the Third Proportional to 202,622 and 440,921

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Solution

The third proportional to 202,622 and 440,921 is: 959,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,622 : 440,921 = 440,921 : x
  2. Step 2: Convert to fraction form
    202,622/440,921 = 440,921/x
  3. Step 3: Cross multiply
    202,622x = 440,921 × 440,921
  4. Step 4: Simplify right side
    202,622x = 194,411,328,241
  5. Step 5: Solve for x
    x = 194,411,328,241/202,622
  6. Step 6: Final answer
    x = 959,477.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.