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Finding the Third Proportional to 221,780 and 479,976

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Solution

The third proportional to 221,780 and 479,976 is: 1,038,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,780 : 479,976 = 479,976 : x
  2. Step 2: Convert to fraction form
    221,780/479,976 = 479,976/x
  3. Step 3: Cross multiply
    221,780x = 479,976 × 479,976
  4. Step 4: Simplify right side
    221,780x = 230,376,960,576
  5. Step 5: Solve for x
    x = 230,376,960,576/221,780
  6. Step 6: Final answer
    x = 1,038,763.46

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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.