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Finding the Third Proportional to 471.56 and 675.94

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Solution

The third proportional to 471.56 and 675.94 is: 968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 675.94 = 675.94 : x
  2. Step 2: Convert to fraction form
    471.56/675.94 = 675.94/x
  3. Step 3: Cross multiply
    471.56x = 675.94 × 675.94
  4. Step 4: Simplify right side
    471.56x = 456,891.50
  5. Step 5: Solve for x
    x = 456,891.50/471.56
  6. Step 6: Final answer
    x = 968.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.