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Finding the Third Proportional to 356.44 and 766.06

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Solution

The third proportional to 356.44 and 766.06 is: 1,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.44 : 766.06 = 766.06 : x
  2. Step 2: Convert to fraction form
    356.44/766.06 = 766.06/x
  3. Step 3: Cross multiply
    356.44x = 766.06 × 766.06
  4. Step 4: Simplify right side
    356.44x = 586,851.75
  5. Step 5: Solve for x
    x = 586,851.75/356.44
  6. Step 6: Final answer
    x = 1,646.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.