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Finding the Third Proportional to 482.06 and 1,023.94

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Solution

The third proportional to 482.06 and 1,023.94 is: 2,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 1,023.94 = 1,023.94 : x
  2. Step 2: Convert to fraction form
    482.06/1,023.94 = 1,023.94/x
  3. Step 3: Cross multiply
    482.06x = 1,023.94 × 1,023.94
  4. Step 4: Simplify right side
    482.06x = 1,048,448.00
  5. Step 5: Solve for x
    x = 1,048,448.00/482.06
  6. Step 6: Final answer
    x = 2,174.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.