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Finding the Third Proportional to 478,021.50 and 733,745.25

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Solution

The third proportional to 478,021.50 and 733,745.25 is: 1,126,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,021.50 : 733,745.25 = 733,745.25 : x
  2. Step 2: Convert to fraction form
    478,021.50/733,745.25 = 733,745.25/x
  3. Step 3: Cross multiply
    478,021.50x = 733,745.25 × 733,745.25
  4. Step 4: Simplify right side
    478,021.50x = 538,382,091,897.56
  5. Step 5: Solve for x
    x = 538,382,091,897.56/478,021.50
  6. Step 6: Final answer
    x = 1,126,271.71

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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.