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Finding the Third Proportional to 224,786 and 481,558

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Solution

The third proportional to 224,786 and 481,558 is: 1,031,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,786 : 481,558 = 481,558 : x
  2. Step 2: Convert to fraction form
    224,786/481,558 = 481,558/x
  3. Step 3: Cross multiply
    224,786x = 481,558 × 481,558
  4. Step 4: Simplify right side
    224,786x = 231,898,107,364
  5. Step 5: Solve for x
    x = 231,898,107,364/224,786
  6. Step 6: Final answer
    x = 1,031,639.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.