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Finding the Third Proportional to 404.50 and 982.25

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Solution

The third proportional to 404.50 and 982.25 is: 2,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.50 : 982.25 = 982.25 : x
  2. Step 2: Convert to fraction form
    404.50/982.25 = 982.25/x
  3. Step 3: Cross multiply
    404.50x = 982.25 × 982.25
  4. Step 4: Simplify right side
    404.50x = 964,815.06
  5. Step 5: Solve for x
    x = 964,815.06/404.50
  6. Step 6: Final answer
    x = 2,385.20

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.