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Finding the Third Proportional to 548,214 and 822,321

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Solution

The third proportional to 548,214 and 822,321 is: 1,233,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,214 : 822,321 = 822,321 : x
  2. Step 2: Convert to fraction form
    548,214/822,321 = 822,321/x
  3. Step 3: Cross multiply
    548,214x = 822,321 × 822,321
  4. Step 4: Simplify right side
    548,214x = 676,211,827,041
  5. Step 5: Solve for x
    x = 676,211,827,041/548,214
  6. Step 6: Final answer
    x = 1,233,481.50

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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.