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Finding the Third Proportional to 994.99 and 1,524.23

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Solution

The third proportional to 994.99 and 1,524.23 is: 2,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.99 : 1,524.23 = 1,524.23 : x
  2. Step 2: Convert to fraction form
    994.99/1,524.23 = 1,524.23/x
  3. Step 3: Cross multiply
    994.99x = 1,524.23 × 1,524.23
  4. Step 4: Simplify right side
    994.99x = 2,323,290.43
  5. Step 5: Solve for x
    x = 2,323,290.43/994.99
  6. Step 6: Final answer
    x = 2,334.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.