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Finding the Third Proportional to 770 and 930

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Solution

The third proportional to 770 and 930 is: 1,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770 : 930 = 930 : x
  2. Step 2: Convert to fraction form
    770/930 = 930/x
  3. Step 3: Cross multiply
    770x = 930 × 930
  4. Step 4: Simplify right side
    770x = 864,900
  5. Step 5: Solve for x
    x = 864,900/770
  6. Step 6: Final answer
    x = 1,123.25

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.