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Finding the Third Proportional to 224,013 and 483,684

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Solution

The third proportional to 224,013 and 483,684 is: 1,044,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,013 : 483,684 = 483,684 : x
  2. Step 2: Convert to fraction form
    224,013/483,684 = 483,684/x
  3. Step 3: Cross multiply
    224,013x = 483,684 × 483,684
  4. Step 4: Simplify right side
    224,013x = 233,950,211,856
  5. Step 5: Solve for x
    x = 233,950,211,856/224,013
  6. Step 6: Final answer
    x = 1,044,359.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.