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Finding the Third Proportional to 209,968.50 and 454,929

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Solution

The third proportional to 209,968.50 and 454,929 is: 985,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968.50 : 454,929 = 454,929 : x
  2. Step 2: Convert to fraction form
    209,968.50/454,929 = 454,929/x
  3. Step 3: Cross multiply
    209,968.50x = 454,929 × 454,929
  4. Step 4: Simplify right side
    209,968.50x = 206,960,395,041
  5. Step 5: Solve for x
    x = 206,960,395,041/209,968.50
  6. Step 6: Final answer
    x = 985,673.54

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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.