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Finding the Third Proportional to 310.56 and 458.69

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Solution

The third proportional to 310.56 and 458.69 is: 677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 458.69 = 458.69 : x
  2. Step 2: Convert to fraction form
    310.56/458.69 = 458.69/x
  3. Step 3: Cross multiply
    310.56x = 458.69 × 458.69
  4. Step 4: Simplify right side
    310.56x = 210,394.22
  5. Step 5: Solve for x
    x = 210,394.22/310.56
  6. Step 6: Final answer
    x = 677.46

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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.