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Finding the Third Proportional to 748.41 and 1,076.20

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Solution

The third proportional to 748.41 and 1,076.20 is: 1,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.41 : 1,076.20 = 1,076.20 : x
  2. Step 2: Convert to fraction form
    748.41/1,076.20 = 1,076.20/x
  3. Step 3: Cross multiply
    748.41x = 1,076.20 × 1,076.20
  4. Step 4: Simplify right side
    748.41x = 1,158,213.17
  5. Step 5: Solve for x
    x = 1,158,213.17/748.41
  6. Step 6: Final answer
    x = 1,547.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.