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Finding the Third Proportional to 556.31 and 1,175.91

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Solution

The third proportional to 556.31 and 1,175.91 is: 2,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 1,175.91 = 1,175.91 : x
  2. Step 2: Convert to fraction form
    556.31/1,175.91 = 1,175.91/x
  3. Step 3: Cross multiply
    556.31x = 1,175.91 × 1,175.91
  4. Step 4: Simplify right side
    556.31x = 1,382,755.51
  5. Step 5: Solve for x
    x = 1,382,755.51/556.31
  6. Step 6: Final answer
    x = 2,485.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.