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Finding the Third Proportional to 360.07 and 840.06

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Solution

The third proportional to 360.07 and 840.06 is: 1,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.07 : 840.06 = 840.06 : x
  2. Step 2: Convert to fraction form
    360.07/840.06 = 840.06/x
  3. Step 3: Cross multiply
    360.07x = 840.06 × 840.06
  4. Step 4: Simplify right side
    360.07x = 705,698.44
  5. Step 5: Solve for x
    x = 705,698.44/360.07
  6. Step 6: Final answer
    x = 1,959.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.