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Finding the Third Proportional to 709.50 and 1,483

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Solution

The third proportional to 709.50 and 1,483 is: 3,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 1,483 = 1,483 : x
  2. Step 2: Convert to fraction form
    709.50/1,483 = 1,483/x
  3. Step 3: Cross multiply
    709.50x = 1,483 × 1,483
  4. Step 4: Simplify right side
    709.50x = 2,199,289
  5. Step 5: Solve for x
    x = 2,199,289/709.50
  6. Step 6: Final answer
    x = 3,099.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.