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Finding the Third Proportional to 489.08 and 1,064.67

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Solution

The third proportional to 489.08 and 1,064.67 is: 2,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.08 : 1,064.67 = 1,064.67 : x
  2. Step 2: Convert to fraction form
    489.08/1,064.67 = 1,064.67/x
  3. Step 3: Cross multiply
    489.08x = 1,064.67 × 1,064.67
  4. Step 4: Simplify right side
    489.08x = 1,133,516.84
  5. Step 5: Solve for x
    x = 1,133,516.84/489.08
  6. Step 6: Final answer
    x = 2,317.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.