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Finding the Third Proportional to 580.83 and 866.16

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Solution

The third proportional to 580.83 and 866.16 is: 1,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.83 : 866.16 = 866.16 : x
  2. Step 2: Convert to fraction form
    580.83/866.16 = 866.16/x
  3. Step 3: Cross multiply
    580.83x = 866.16 × 866.16
  4. Step 4: Simplify right side
    580.83x = 750,226.65
  5. Step 5: Solve for x
    x = 750,226.65/580.83
  6. Step 6: Final answer
    x = 1,291.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.