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Finding the Third Proportional to 209,601 and 454,650

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Solution

The third proportional to 209,601 and 454,650 is: 986,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,601 : 454,650 = 454,650 : x
  2. Step 2: Convert to fraction form
    209,601/454,650 = 454,650/x
  3. Step 3: Cross multiply
    209,601x = 454,650 × 454,650
  4. Step 4: Simplify right side
    209,601x = 206,706,622,500
  5. Step 5: Solve for x
    x = 206,706,622,500/209,601
  6. Step 6: Final answer
    x = 986,191.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.