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Finding the Third Proportional to 804.94 and 1,376.06

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Solution

The third proportional to 804.94 and 1,376.06 is: 2,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.94 : 1,376.06 = 1,376.06 : x
  2. Step 2: Convert to fraction form
    804.94/1,376.06 = 1,376.06/x
  3. Step 3: Cross multiply
    804.94x = 1,376.06 × 1,376.06
  4. Step 4: Simplify right side
    804.94x = 1,893,548.00
  5. Step 5: Solve for x
    x = 1,893,548.00/804.94
  6. Step 6: Final answer
    x = 2,352.42

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.