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Finding the Third Proportional to 556.45 and 1,187.33

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Solution

The third proportional to 556.45 and 1,187.33 is: 2,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.45 : 1,187.33 = 1,187.33 : x
  2. Step 2: Convert to fraction form
    556.45/1,187.33 = 1,187.33/x
  3. Step 3: Cross multiply
    556.45x = 1,187.33 × 1,187.33
  4. Step 4: Simplify right side
    556.45x = 1,409,757.35
  5. Step 5: Solve for x
    x = 1,409,757.35/556.45
  6. Step 6: Final answer
    x = 2,533.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.