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Finding the Third Proportional to 601.59 and 839.95

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Solution

The third proportional to 601.59 and 839.95 is: 1,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.59 : 839.95 = 839.95 : x
  2. Step 2: Convert to fraction form
    601.59/839.95 = 839.95/x
  3. Step 3: Cross multiply
    601.59x = 839.95 × 839.95
  4. Step 4: Simplify right side
    601.59x = 705,521.25
  5. Step 5: Solve for x
    x = 705,521.25/601.59
  6. Step 6: Final answer
    x = 1,172.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.