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Finding the Third Proportional to 640 and 734.50

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Solution

The third proportional to 640 and 734.50 is: 842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    640 : 734.50 = 734.50 : x
  2. Step 2: Convert to fraction form
    640/734.50 = 734.50/x
  3. Step 3: Cross multiply
    640x = 734.50 × 734.50
  4. Step 4: Simplify right side
    640x = 539,490.25
  5. Step 5: Solve for x
    x = 539,490.25/640
  6. Step 6: Final answer
    x = 842.95

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.