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Finding the Third Proportional to 601 and 722.50

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Solution

The third proportional to 601 and 722.50 is: 868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 722.50 = 722.50 : x
  2. Step 2: Convert to fraction form
    601/722.50 = 722.50/x
  3. Step 3: Cross multiply
    601x = 722.50 × 722.50
  4. Step 4: Simplify right side
    601x = 522,006.25
  5. Step 5: Solve for x
    x = 522,006.25/601
  6. Step 6: Final answer
    x = 868.56

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.