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Finding the Third Proportional to 487.94 and 1,054.38

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Solution

The third proportional to 487.94 and 1,054.38 is: 2,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.94 : 1,054.38 = 1,054.38 : x
  2. Step 2: Convert to fraction form
    487.94/1,054.38 = 1,054.38/x
  3. Step 3: Cross multiply
    487.94x = 1,054.38 × 1,054.38
  4. Step 4: Simplify right side
    487.94x = 1,111,706.64
  5. Step 5: Solve for x
    x = 1,111,706.64/487.94
  6. Step 6: Final answer
    x = 2,278.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.