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Finding the Third Proportional to 576.25 and 928.38

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Solution

The third proportional to 576.25 and 928.38 is: 1,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 928.38 = 928.38 : x
  2. Step 2: Convert to fraction form
    576.25/928.38 = 928.38/x
  3. Step 3: Cross multiply
    576.25x = 928.38 × 928.38
  4. Step 4: Simplify right side
    576.25x = 861,880.14
  5. Step 5: Solve for x
    x = 861,880.14/576.25
  6. Step 6: Final answer
    x = 1,495.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.