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Finding the Third Proportional to 441,836.25 and 675,604.50

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Solution

The third proportional to 441,836.25 and 675,604.50 is: 1,033,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,836.25 : 675,604.50 = 675,604.50 : x
  2. Step 2: Convert to fraction form
    441,836.25/675,604.50 = 675,604.50/x
  3. Step 3: Cross multiply
    441,836.25x = 675,604.50 × 675,604.50
  4. Step 4: Simplify right side
    441,836.25x = 456,441,440,420.25
  5. Step 5: Solve for x
    x = 456,441,440,420.25/441,836.25
  6. Step 6: Final answer
    x = 1,033,055.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.