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Finding the Third Proportional to 722.36 and 1,014.24

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Solution

The third proportional to 722.36 and 1,014.24 is: 1,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.36 : 1,014.24 = 1,014.24 : x
  2. Step 2: Convert to fraction form
    722.36/1,014.24 = 1,014.24/x
  3. Step 3: Cross multiply
    722.36x = 1,014.24 × 1,014.24
  4. Step 4: Simplify right side
    722.36x = 1,028,683.25
  5. Step 5: Solve for x
    x = 1,028,683.25/722.36
  6. Step 6: Final answer
    x = 1,424.07

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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.