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Finding the Third Proportional to 642.94 and 1,022.63

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Solution

The third proportional to 642.94 and 1,022.63 is: 1,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 1,022.63 = 1,022.63 : x
  2. Step 2: Convert to fraction form
    642.94/1,022.63 = 1,022.63/x
  3. Step 3: Cross multiply
    642.94x = 1,022.63 × 1,022.63
  4. Step 4: Simplify right side
    642.94x = 1,045,761.89
  5. Step 5: Solve for x
    x = 1,045,761.89/642.94
  6. Step 6: Final answer
    x = 1,626.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.