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Finding the Third Proportional to 574.63 and 859.69

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Solution

The third proportional to 574.63 and 859.69 is: 1,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.63 : 859.69 = 859.69 : x
  2. Step 2: Convert to fraction form
    574.63/859.69 = 859.69/x
  3. Step 3: Cross multiply
    574.63x = 859.69 × 859.69
  4. Step 4: Simplify right side
    574.63x = 739,062.60
  5. Step 5: Solve for x
    x = 739,062.60/574.63
  6. Step 6: Final answer
    x = 1,286.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.