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Finding the Third Proportional to 459.42 and 975.80

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Solution

The third proportional to 459.42 and 975.80 is: 2,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 975.80 = 975.80 : x
  2. Step 2: Convert to fraction form
    459.42/975.80 = 975.80/x
  3. Step 3: Cross multiply
    459.42x = 975.80 × 975.80
  4. Step 4: Simplify right side
    459.42x = 952,179.54
  5. Step 5: Solve for x
    x = 952,179.54/459.42
  6. Step 6: Final answer
    x = 2,072.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.