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Finding the Third Proportional to 522.70 and 1,148.55

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Solution

The third proportional to 522.70 and 1,148.55 is: 2,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 1,148.55 = 1,148.55 : x
  2. Step 2: Convert to fraction form
    522.70/1,148.55 = 1,148.55/x
  3. Step 3: Cross multiply
    522.70x = 1,148.55 × 1,148.55
  4. Step 4: Simplify right side
    522.70x = 1,319,177.87
  5. Step 5: Solve for x
    x = 1,319,177.87/522.70
  6. Step 6: Final answer
    x = 2,523.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.