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Finding the Third Proportional to 457.05 and 979.59

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Solution

The third proportional to 457.05 and 979.59 is: 2,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 979.59 = 979.59 : x
  2. Step 2: Convert to fraction form
    457.05/979.59 = 979.59/x
  3. Step 3: Cross multiply
    457.05x = 979.59 × 979.59
  4. Step 4: Simplify right side
    457.05x = 959,603.92
  5. Step 5: Solve for x
    x = 959,603.92/457.05
  6. Step 6: Final answer
    x = 2,099.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.