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Finding the Third Proportional to 228,368 and 481,356

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Solution

The third proportional to 228,368 and 481,356 is: 1,014,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,368 : 481,356 = 481,356 : x
  2. Step 2: Convert to fraction form
    228,368/481,356 = 481,356/x
  3. Step 3: Cross multiply
    228,368x = 481,356 × 481,356
  4. Step 4: Simplify right side
    228,368x = 231,703,598,736
  5. Step 5: Solve for x
    x = 231,703,598,736/228,368
  6. Step 6: Final answer
    x = 1,014,606.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.