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Finding the Third Proportional to 489.75 and 1,035.75

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Solution

The third proportional to 489.75 and 1,035.75 is: 2,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.75 : 1,035.75 = 1,035.75 : x
  2. Step 2: Convert to fraction form
    489.75/1,035.75 = 1,035.75/x
  3. Step 3: Cross multiply
    489.75x = 1,035.75 × 1,035.75
  4. Step 4: Simplify right side
    489.75x = 1,072,778.06
  5. Step 5: Solve for x
    x = 1,072,778.06/489.75
  6. Step 6: Final answer
    x = 2,190.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.