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Finding the Third Proportional to 760.55 and 1,174.41

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Solution

The third proportional to 760.55 and 1,174.41 is: 1,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.55 : 1,174.41 = 1,174.41 : x
  2. Step 2: Convert to fraction form
    760.55/1,174.41 = 1,174.41/x
  3. Step 3: Cross multiply
    760.55x = 1,174.41 × 1,174.41
  4. Step 4: Simplify right side
    760.55x = 1,379,230.04
  5. Step 5: Solve for x
    x = 1,379,230.04/760.55
  6. Step 6: Final answer
    x = 1,813.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.