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Finding the Third Proportional to 355.01 and 775.41

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Solution

The third proportional to 355.01 and 775.41 is: 1,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.01 : 775.41 = 775.41 : x
  2. Step 2: Convert to fraction form
    355.01/775.41 = 775.41/x
  3. Step 3: Cross multiply
    355.01x = 775.41 × 775.41
  4. Step 4: Simplify right side
    355.01x = 601,254.85
  5. Step 5: Solve for x
    x = 601,254.85/355.01
  6. Step 6: Final answer
    x = 1,693.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.