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Finding the Third Proportional to 225,648.28 and 480,274.31

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Solution

The third proportional to 225,648.28 and 480,274.31 is: 1,022,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,648.28 : 480,274.31 = 480,274.31 : x
  2. Step 2: Convert to fraction form
    225,648.28/480,274.31 = 480,274.31/x
  3. Step 3: Cross multiply
    225,648.28x = 480,274.31 × 480,274.31
  4. Step 4: Simplify right side
    225,648.28x = 230,663,415,247.35
  5. Step 5: Solve for x
    x = 230,663,415,247.35/225,648.28
  6. Step 6: Final answer
    x = 1,022,225.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.