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Finding the Third Proportional to 369.56 and 760.01

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Solution

The third proportional to 369.56 and 760.01 is: 1,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 760.01 = 760.01 : x
  2. Step 2: Convert to fraction form
    369.56/760.01 = 760.01/x
  3. Step 3: Cross multiply
    369.56x = 760.01 × 760.01
  4. Step 4: Simplify right side
    369.56x = 577,611.88
  5. Step 5: Solve for x
    x = 577,611.88/369.56
  6. Step 6: Final answer
    x = 1,562.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.