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Finding the Third Proportional to 693.05 and 1,283.58

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Solution

The third proportional to 693.05 and 1,283.58 is: 2,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.05 : 1,283.58 = 1,283.58 : x
  2. Step 2: Convert to fraction form
    693.05/1,283.58 = 1,283.58/x
  3. Step 3: Cross multiply
    693.05x = 1,283.58 × 1,283.58
  4. Step 4: Simplify right side
    693.05x = 1,647,580.32
  5. Step 5: Solve for x
    x = 1,647,580.32/693.05
  6. Step 6: Final answer
    x = 2,377.29

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.