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Finding the Third Proportional to 790.88 and 2,028.94

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Solution

The third proportional to 790.88 and 2,028.94 is: 5,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.88 : 2,028.94 = 2,028.94 : x
  2. Step 2: Convert to fraction form
    790.88/2,028.94 = 2,028.94/x
  3. Step 3: Cross multiply
    790.88x = 2,028.94 × 2,028.94
  4. Step 4: Simplify right side
    790.88x = 4,116,587.38
  5. Step 5: Solve for x
    x = 4,116,587.38/790.88
  6. Step 6: Final answer
    x = 5,205.10

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.