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Finding the Third Proportional to 228,848.20 and 498,380.34

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Solution

The third proportional to 228,848.20 and 498,380.34 is: 1,085,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,848.20 : 498,380.34 = 498,380.34 : x
  2. Step 2: Convert to fraction form
    228,848.20/498,380.34 = 498,380.34/x
  3. Step 3: Cross multiply
    228,848.20x = 498,380.34 × 498,380.34
  4. Step 4: Simplify right side
    228,848.20x = 248,382,967,036.37
  5. Step 5: Solve for x
    x = 248,382,967,036.37/228,848.20
  6. Step 6: Final answer
    x = 1,085,361.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.