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Finding the Third Proportional to 589.75 and 643.75

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Solution

The third proportional to 589.75 and 643.75 is: 702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.75 : 643.75 = 643.75 : x
  2. Step 2: Convert to fraction form
    589.75/643.75 = 643.75/x
  3. Step 3: Cross multiply
    589.75x = 643.75 × 643.75
  4. Step 4: Simplify right side
    589.75x = 414,414.06
  5. Step 5: Solve for x
    x = 414,414.06/589.75
  6. Step 6: Final answer
    x = 702.69

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.