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Finding the Third Proportional to 505.06 and 1,055.94

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Solution

The third proportional to 505.06 and 1,055.94 is: 2,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 1,055.94 = 1,055.94 : x
  2. Step 2: Convert to fraction form
    505.06/1,055.94 = 1,055.94/x
  3. Step 3: Cross multiply
    505.06x = 1,055.94 × 1,055.94
  4. Step 4: Simplify right side
    505.06x = 1,115,004.00
  5. Step 5: Solve for x
    x = 1,115,004.00/505.06
  6. Step 6: Final answer
    x = 2,207.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.