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Finding the Third Proportional to 710 and 927

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Solution

The third proportional to 710 and 927 is: 1,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710 : 927 = 927 : x
  2. Step 2: Convert to fraction form
    710/927 = 927/x
  3. Step 3: Cross multiply
    710x = 927 × 927
  4. Step 4: Simplify right side
    710x = 859,329
  5. Step 5: Solve for x
    x = 859,329/710
  6. Step 6: Final answer
    x = 1,210.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.