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Finding the Third Proportional to 923.53 and 1,419.47

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Solution

The third proportional to 923.53 and 1,419.47 is: 2,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.53 : 1,419.47 = 1,419.47 : x
  2. Step 2: Convert to fraction form
    923.53/1,419.47 = 1,419.47/x
  3. Step 3: Cross multiply
    923.53x = 1,419.47 × 1,419.47
  4. Step 4: Simplify right side
    923.53x = 2,014,891.53
  5. Step 5: Solve for x
    x = 2,014,891.53/923.53
  6. Step 6: Final answer
    x = 2,181.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.