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Finding the Third Proportional to 311,977.50 and 446,144.25

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Solution

The third proportional to 311,977.50 and 446,144.25 is: 638,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,977.50 : 446,144.25 = 446,144.25 : x
  2. Step 2: Convert to fraction form
    311,977.50/446,144.25 = 446,144.25/x
  3. Step 3: Cross multiply
    311,977.50x = 446,144.25 × 446,144.25
  4. Step 4: Simplify right side
    311,977.50x = 199,044,691,808.06
  5. Step 5: Solve for x
    x = 199,044,691,808.06/311,977.50
  6. Step 6: Final answer
    x = 638,009.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.