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Finding the Third Proportional to 222,388 and 486,308

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Solution

The third proportional to 222,388 and 486,308 is: 1,063,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,388 : 486,308 = 486,308 : x
  2. Step 2: Convert to fraction form
    222,388/486,308 = 486,308/x
  3. Step 3: Cross multiply
    222,388x = 486,308 × 486,308
  4. Step 4: Simplify right side
    222,388x = 236,495,470,864
  5. Step 5: Solve for x
    x = 236,495,470,864/222,388
  6. Step 6: Final answer
    x = 1,063,436.30

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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.