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Finding the Third Proportional to 750.66 and 1,054.27

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Solution

The third proportional to 750.66 and 1,054.27 is: 1,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.66 : 1,054.27 = 1,054.27 : x
  2. Step 2: Convert to fraction form
    750.66/1,054.27 = 1,054.27/x
  3. Step 3: Cross multiply
    750.66x = 1,054.27 × 1,054.27
  4. Step 4: Simplify right side
    750.66x = 1,111,476.01
  5. Step 5: Solve for x
    x = 1,111,476.01/750.66
  6. Step 6: Final answer
    x = 1,480.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.