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Finding the Third Proportional to 310.75 and 486.63

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Solution

The third proportional to 310.75 and 486.63 is: 762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.75 : 486.63 = 486.63 : x
  2. Step 2: Convert to fraction form
    310.75/486.63 = 486.63/x
  3. Step 3: Cross multiply
    310.75x = 486.63 × 486.63
  4. Step 4: Simplify right side
    310.75x = 236,803.89
  5. Step 5: Solve for x
    x = 236,803.89/310.75
  6. Step 6: Final answer
    x = 762.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.