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Finding the Third Proportional to 478.25 and 1,046.38

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Solution

The third proportional to 478.25 and 1,046.38 is: 2,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.25 : 1,046.38 = 1,046.38 : x
  2. Step 2: Convert to fraction form
    478.25/1,046.38 = 1,046.38/x
  3. Step 3: Cross multiply
    478.25x = 1,046.38 × 1,046.38
  4. Step 4: Simplify right side
    478.25x = 1,094,900.64
  5. Step 5: Solve for x
    x = 1,094,900.64/478.25
  6. Step 6: Final answer
    x = 2,289.39

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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.