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Finding the Third Proportional to 596.50 and 936.50

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Solution

The third proportional to 596.50 and 936.50 is: 1,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 936.50 = 936.50 : x
  2. Step 2: Convert to fraction form
    596.50/936.50 = 936.50/x
  3. Step 3: Cross multiply
    596.50x = 936.50 × 936.50
  4. Step 4: Simplify right side
    596.50x = 877,032.25
  5. Step 5: Solve for x
    x = 877,032.25/596.50
  6. Step 6: Final answer
    x = 1,470.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.