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Finding the Third Proportional to 596.06 and 921.09

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Solution

The third proportional to 596.06 and 921.09 is: 1,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 921.09 = 921.09 : x
  2. Step 2: Convert to fraction form
    596.06/921.09 = 921.09/x
  3. Step 3: Cross multiply
    596.06x = 921.09 × 921.09
  4. Step 4: Simplify right side
    596.06x = 848,413.70
  5. Step 5: Solve for x
    x = 848,413.70/596.06
  6. Step 6: Final answer
    x = 1,423.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.