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Finding the Third Proportional to 548,235 and 822,351

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Solution

The third proportional to 548,235 and 822,351 is: 1,233,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,235 : 822,351 = 822,351 : x
  2. Step 2: Convert to fraction form
    548,235/822,351 = 822,351/x
  3. Step 3: Cross multiply
    548,235x = 822,351 × 822,351
  4. Step 4: Simplify right side
    548,235x = 676,261,167,201
  5. Step 5: Solve for x
    x = 676,261,167,201/548,235
  6. Step 6: Final answer
    x = 1,233,524.25

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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.