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Finding the Third Proportional to 644.63 and 1,702.69

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Solution

The third proportional to 644.63 and 1,702.69 is: 4,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.63 : 1,702.69 = 1,702.69 : x
  2. Step 2: Convert to fraction form
    644.63/1,702.69 = 1,702.69/x
  3. Step 3: Cross multiply
    644.63x = 1,702.69 × 1,702.69
  4. Step 4: Simplify right side
    644.63x = 2,899,144.72
  5. Step 5: Solve for x
    x = 2,899,144.72/644.63
  6. Step 6: Final answer
    x = 4,497.41

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.