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Finding the Third Proportional to 224,835 and 481,722

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Solution

The third proportional to 224,835 and 481,722 is: 1,032,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,835 : 481,722 = 481,722 : x
  2. Step 2: Convert to fraction form
    224,835/481,722 = 481,722/x
  3. Step 3: Cross multiply
    224,835x = 481,722 × 481,722
  4. Step 4: Simplify right side
    224,835x = 232,056,085,284
  5. Step 5: Solve for x
    x = 232,056,085,284/224,835
  6. Step 6: Final answer
    x = 1,032,117.27

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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.