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Finding the Third Proportional to 459.84 and 936.56

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Solution

The third proportional to 459.84 and 936.56 is: 1,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 936.56 = 936.56 : x
  2. Step 2: Convert to fraction form
    459.84/936.56 = 936.56/x
  3. Step 3: Cross multiply
    459.84x = 936.56 × 936.56
  4. Step 4: Simplify right side
    459.84x = 877,149.32
  5. Step 5: Solve for x
    x = 877,149.32/459.84
  6. Step 6: Final answer
    x = 1,907.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.