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Finding the Third Proportional to 589.88 and 840.75

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Solution

The third proportional to 589.88 and 840.75 is: 1,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 840.75 = 840.75 : x
  2. Step 2: Convert to fraction form
    589.88/840.75 = 840.75/x
  3. Step 3: Cross multiply
    589.88x = 840.75 × 840.75
  4. Step 4: Simplify right side
    589.88x = 706,860.56
  5. Step 5: Solve for x
    x = 706,860.56/589.88
  6. Step 6: Final answer
    x = 1,198.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.