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Finding the Third Proportional to 748.50 and 1,148.63

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Solution

The third proportional to 748.50 and 1,148.63 is: 1,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.50 : 1,148.63 = 1,148.63 : x
  2. Step 2: Convert to fraction form
    748.50/1,148.63 = 1,148.63/x
  3. Step 3: Cross multiply
    748.50x = 1,148.63 × 1,148.63
  4. Step 4: Simplify right side
    748.50x = 1,319,339.39
  5. Step 5: Solve for x
    x = 1,319,339.39/748.50
  6. Step 6: Final answer
    x = 1,762.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.