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Finding the Third Proportional to 580.22 and 919.69

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Solution

The third proportional to 580.22 and 919.69 is: 1,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.22 : 919.69 = 919.69 : x
  2. Step 2: Convert to fraction form
    580.22/919.69 = 919.69/x
  3. Step 3: Cross multiply
    580.22x = 919.69 × 919.69
  4. Step 4: Simplify right side
    580.22x = 845,825.10
  5. Step 5: Solve for x
    x = 845,825.10/580.22
  6. Step 6: Final answer
    x = 1,457.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.