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Finding the Third Proportional to 770.44 and 1,569.56

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Solution

The third proportional to 770.44 and 1,569.56 is: 3,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,569.56 = 1,569.56 : x
  2. Step 2: Convert to fraction form
    770.44/1,569.56 = 1,569.56/x
  3. Step 3: Cross multiply
    770.44x = 1,569.56 × 1,569.56
  4. Step 4: Simplify right side
    770.44x = 2,463,526.44
  5. Step 5: Solve for x
    x = 2,463,526.44/770.44
  6. Step 6: Final answer
    x = 3,197.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.