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Finding the Third Proportional to 522.28 and 744.19

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Solution

The third proportional to 522.28 and 744.19 is: 1,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.28 : 744.19 = 744.19 : x
  2. Step 2: Convert to fraction form
    522.28/744.19 = 744.19/x
  3. Step 3: Cross multiply
    522.28x = 744.19 × 744.19
  4. Step 4: Simplify right side
    522.28x = 553,815.04
  5. Step 5: Solve for x
    x = 553,815.04/522.28
  6. Step 6: Final answer
    x = 1,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.