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Finding the Third Proportional to 483.12 and 999.77

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Solution

The third proportional to 483.12 and 999.77 is: 2,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.12 : 999.77 = 999.77 : x
  2. Step 2: Convert to fraction form
    483.12/999.77 = 999.77/x
  3. Step 3: Cross multiply
    483.12x = 999.77 × 999.77
  4. Step 4: Simplify right side
    483.12x = 999,546.93
  5. Step 5: Solve for x
    x = 999,546.93/483.12
  6. Step 6: Final answer
    x = 2,068.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.