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Finding the Third Proportional to 482.94 and 1,057.19

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Solution

The third proportional to 482.94 and 1,057.19 is: 2,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.94 : 1,057.19 = 1,057.19 : x
  2. Step 2: Convert to fraction form
    482.94/1,057.19 = 1,057.19/x
  3. Step 3: Cross multiply
    482.94x = 1,057.19 × 1,057.19
  4. Step 4: Simplify right side
    482.94x = 1,117,655.73
  5. Step 5: Solve for x
    x = 1,117,655.73/482.94
  6. Step 6: Final answer
    x = 2,314.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.