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Finding the Third Proportional to 314 and 722

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Solution

The third proportional to 314 and 722 is: 1,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 722 = 722 : x
  2. Step 2: Convert to fraction form
    314/722 = 722/x
  3. Step 3: Cross multiply
    314x = 722 × 722
  4. Step 4: Simplify right side
    314x = 521,284
  5. Step 5: Solve for x
    x = 521,284/314
  6. Step 6: Final answer
    x = 1,660.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.