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Finding the Third Proportional to 310.50 and 458.44

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Solution

The third proportional to 310.50 and 458.44 is: 676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 458.44 = 458.44 : x
  2. Step 2: Convert to fraction form
    310.50/458.44 = 458.44/x
  3. Step 3: Cross multiply
    310.50x = 458.44 × 458.44
  4. Step 4: Simplify right side
    310.50x = 210,164.94
  5. Step 5: Solve for x
    x = 210,164.94/310.50
  6. Step 6: Final answer
    x = 676.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.