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Finding the Third Proportional to 223,203 and 481,689

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Solution

The third proportional to 223,203 and 481,689 is: 1,039,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,203 : 481,689 = 481,689 : x
  2. Step 2: Convert to fraction form
    223,203/481,689 = 481,689/x
  3. Step 3: Cross multiply
    223,203x = 481,689 × 481,689
  4. Step 4: Simplify right side
    223,203x = 232,024,292,721
  5. Step 5: Solve for x
    x = 232,024,292,721/223,203
  6. Step 6: Final answer
    x = 1,039,521.39

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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.