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Finding the Third Proportional to 209,080 and 454,664

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Solution

The third proportional to 209,080 and 454,664 is: 988,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,080 : 454,664 = 454,664 : x
  2. Step 2: Convert to fraction form
    209,080/454,664 = 454,664/x
  3. Step 3: Cross multiply
    209,080x = 454,664 × 454,664
  4. Step 4: Simplify right side
    209,080x = 206,719,352,896
  5. Step 5: Solve for x
    x = 206,719,352,896/209,080
  6. Step 6: Final answer
    x = 988,709.36

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