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Finding the Third Proportional to 548,249.63 and 822,374.25

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Solution

The third proportional to 548,249.63 and 822,374.25 is: 1,233,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,249.63 : 822,374.25 = 822,374.25 : x
  2. Step 2: Convert to fraction form
    548,249.63/822,374.25 = 822,374.25/x
  3. Step 3: Cross multiply
    548,249.63x = 822,374.25 × 822,374.25
  4. Step 4: Simplify right side
    548,249.63x = 676,299,407,063.06
  5. Step 5: Solve for x
    x = 676,299,407,063.06/548,249.63
  6. Step 6: Final answer
    x = 1,233,561.09

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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.