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Finding the Third Proportional to 209,599 and 454,644

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Solution

The third proportional to 209,599 and 454,644 is: 986,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,599 : 454,644 = 454,644 : x
  2. Step 2: Convert to fraction form
    209,599/454,644 = 454,644/x
  3. Step 3: Cross multiply
    209,599x = 454,644 × 454,644
  4. Step 4: Simplify right side
    209,599x = 206,701,166,736
  5. Step 5: Solve for x
    x = 206,701,166,736/209,599
  6. Step 6: Final answer
    x = 986,174.39

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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.