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Finding the Third Proportional to 923.63 and 1,990.69

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Solution

The third proportional to 923.63 and 1,990.69 is: 4,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.63 : 1,990.69 = 1,990.69 : x
  2. Step 2: Convert to fraction form
    923.63/1,990.69 = 1,990.69/x
  3. Step 3: Cross multiply
    923.63x = 1,990.69 × 1,990.69
  4. Step 4: Simplify right side
    923.63x = 3,962,836.72
  5. Step 5: Solve for x
    x = 3,962,836.72/923.63
  6. Step 6: Final answer
    x = 4,290.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.