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Finding the Third Proportional to 478.54 and 1,053.99

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Solution

The third proportional to 478.54 and 1,053.99 is: 2,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.54 : 1,053.99 = 1,053.99 : x
  2. Step 2: Convert to fraction form
    478.54/1,053.99 = 1,053.99/x
  3. Step 3: Cross multiply
    478.54x = 1,053.99 × 1,053.99
  4. Step 4: Simplify right side
    478.54x = 1,110,892.33
  5. Step 5: Solve for x
    x = 1,110,892.33/478.54
  6. Step 6: Final answer
    x = 2,321.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.