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Finding the Third Proportional to 222,328 and 486,820

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Solution

The third proportional to 222,328 and 486,820 is: 1,065,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,328 : 486,820 = 486,820 : x
  2. Step 2: Convert to fraction form
    222,328/486,820 = 486,820/x
  3. Step 3: Cross multiply
    222,328x = 486,820 × 486,820
  4. Step 4: Simplify right side
    222,328x = 236,993,712,400
  5. Step 5: Solve for x
    x = 236,993,712,400/222,328
  6. Step 6: Final answer
    x = 1,065,964.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.