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Finding the Third Proportional to 548,258 and 822,388

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Solution

The third proportional to 548,258 and 822,388 is: 1,233,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,258 : 822,388 = 822,388 : x
  2. Step 2: Convert to fraction form
    548,258/822,388 = 822,388/x
  3. Step 3: Cross multiply
    548,258x = 822,388 × 822,388
  4. Step 4: Simplify right side
    548,258x = 676,322,022,544
  5. Step 5: Solve for x
    x = 676,322,022,544/548,258
  6. Step 6: Final answer
    x = 1,233,583.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.