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Finding the Third Proportional to 576.65 and 890.60

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Solution

The third proportional to 576.65 and 890.60 is: 1,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 890.60 = 890.60 : x
  2. Step 2: Convert to fraction form
    576.65/890.60 = 890.60/x
  3. Step 3: Cross multiply
    576.65x = 890.60 × 890.60
  4. Step 4: Simplify right side
    576.65x = 793,176.36
  5. Step 5: Solve for x
    x = 793,176.36/576.65
  6. Step 6: Final answer
    x = 1,375.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.