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Finding the Third Proportional to 209,596.50 and 454,638.09

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Solution

The third proportional to 209,596.50 and 454,638.09 is: 986,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,596.50 : 454,638.09 = 454,638.09 : x
  2. Step 2: Convert to fraction form
    209,596.50/454,638.09 = 454,638.09/x
  3. Step 3: Cross multiply
    209,596.50x = 454,638.09 × 454,638.09
  4. Step 4: Simplify right side
    209,596.50x = 206,695,796,288.63
  5. Step 5: Solve for x
    x = 206,695,796,288.63/209,596.50
  6. Step 6: Final answer
    x = 986,160.53

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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.