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Finding the Third Proportional to 601 and 765.50

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Solution

The third proportional to 601 and 765.50 is: 975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 765.50 = 765.50 : x
  2. Step 2: Convert to fraction form
    601/765.50 = 765.50/x
  3. Step 3: Cross multiply
    601x = 765.50 × 765.50
  4. Step 4: Simplify right side
    601x = 585,990.25
  5. Step 5: Solve for x
    x = 585,990.25/601
  6. Step 6: Final answer
    x = 975.03

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.