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Finding the Third Proportional to 580 and 858

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Solution

The third proportional to 580 and 858 is: 1,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580 : 858 = 858 : x
  2. Step 2: Convert to fraction form
    580/858 = 858/x
  3. Step 3: Cross multiply
    580x = 858 × 858
  4. Step 4: Simplify right side
    580x = 736,164
  5. Step 5: Solve for x
    x = 736,164/580
  6. Step 6: Final answer
    x = 1,269.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.