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Finding the Third Proportional to 486.75 and 1,068.56

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Solution

The third proportional to 486.75 and 1,068.56 is: 2,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.75 : 1,068.56 = 1,068.56 : x
  2. Step 2: Convert to fraction form
    486.75/1,068.56 = 1,068.56/x
  3. Step 3: Cross multiply
    486.75x = 1,068.56 × 1,068.56
  4. Step 4: Simplify right side
    486.75x = 1,141,825.82
  5. Step 5: Solve for x
    x = 1,141,825.82/486.75
  6. Step 6: Final answer
    x = 2,345.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.