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Finding the Third Proportional to 314 and 666.25

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Solution

The third proportional to 314 and 666.25 is: 1,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 666.25 = 666.25 : x
  2. Step 2: Convert to fraction form
    314/666.25 = 666.25/x
  3. Step 3: Cross multiply
    314x = 666.25 × 666.25
  4. Step 4: Simplify right side
    314x = 443,889.06
  5. Step 5: Solve for x
    x = 443,889.06/314
  6. Step 6: Final answer
    x = 1,413.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.