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Finding the Third Proportional to 200,523 and 445,880

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Solution

The third proportional to 200,523 and 445,880 is: 991,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523 : 445,880 = 445,880 : x
  2. Step 2: Convert to fraction form
    200,523/445,880 = 445,880/x
  3. Step 3: Cross multiply
    200,523x = 445,880 × 445,880
  4. Step 4: Simplify right side
    200,523x = 198,808,974,400
  5. Step 5: Solve for x
    x = 198,808,974,400/200,523
  6. Step 6: Final answer
    x = 991,452.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.