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Finding the Third Proportional to 453,804.75 and 967,223.25

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Solution

The third proportional to 453,804.75 and 967,223.25 is: 2,061,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,804.75 : 967,223.25 = 967,223.25 : x
  2. Step 2: Convert to fraction form
    453,804.75/967,223.25 = 967,223.25/x
  3. Step 3: Cross multiply
    453,804.75x = 967,223.25 × 967,223.25
  4. Step 4: Simplify right side
    453,804.75x = 935,520,815,340.56
  5. Step 5: Solve for x
    x = 935,520,815,340.56/453,804.75
  6. Step 6: Final answer
    x = 2,061,505.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.