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Finding the Third Proportional to 580.68 and 1,269.11

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Solution

The third proportional to 580.68 and 1,269.11 is: 2,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 1,269.11 = 1,269.11 : x
  2. Step 2: Convert to fraction form
    580.68/1,269.11 = 1,269.11/x
  3. Step 3: Cross multiply
    580.68x = 1,269.11 × 1,269.11
  4. Step 4: Simplify right side
    580.68x = 1,610,628.69
  5. Step 5: Solve for x
    x = 1,610,628.69/580.68
  6. Step 6: Final answer
    x = 2,773.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.