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Finding the Third Proportional to 209,792 and 449,248

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Solution

The third proportional to 209,792 and 449,248 is: 962,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792 : 449,248 = 449,248 : x
  2. Step 2: Convert to fraction form
    209,792/449,248 = 449,248/x
  3. Step 3: Cross multiply
    209,792x = 449,248 × 449,248
  4. Step 4: Simplify right side
    209,792x = 201,823,765,504
  5. Step 5: Solve for x
    x = 201,823,765,504/209,792
  6. Step 6: Final answer
    x = 962,018.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.