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Finding the Third Proportional to 494,103.94 and 725,573.25

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Solution

The third proportional to 494,103.94 and 725,573.25 is: 1,065,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,103.94 : 725,573.25 = 725,573.25 : x
  2. Step 2: Convert to fraction form
    494,103.94/725,573.25 = 725,573.25/x
  3. Step 3: Cross multiply
    494,103.94x = 725,573.25 × 725,573.25
  4. Step 4: Simplify right side
    494,103.94x = 526,456,541,115.56
  5. Step 5: Solve for x
    x = 526,456,541,115.56/494,103.94
  6. Step 6: Final answer
    x = 1,065,477.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.