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Finding the Third Proportional to 377.06 and 864.94

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Solution

The third proportional to 377.06 and 864.94 is: 1,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 864.94 = 864.94 : x
  2. Step 2: Convert to fraction form
    377.06/864.94 = 864.94/x
  3. Step 3: Cross multiply
    377.06x = 864.94 × 864.94
  4. Step 4: Simplify right side
    377.06x = 748,116.88
  5. Step 5: Solve for x
    x = 748,116.88/377.06
  6. Step 6: Final answer
    x = 1,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.