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Finding the Third Proportional to 675.56 and 908.06

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Solution

The third proportional to 675.56 and 908.06 is: 1,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.56 : 908.06 = 908.06 : x
  2. Step 2: Convert to fraction form
    675.56/908.06 = 908.06/x
  3. Step 3: Cross multiply
    675.56x = 908.06 × 908.06
  4. Step 4: Simplify right side
    675.56x = 824,577.50
  5. Step 5: Solve for x
    x = 824,577.50/675.56
  6. Step 6: Final answer
    x = 1,220.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.