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Finding the Third Proportional to 286,000.50 and 428,448.75

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Solution

The third proportional to 286,000.50 and 428,448.75 is: 641,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,000.50 : 428,448.75 = 428,448.75 : x
  2. Step 2: Convert to fraction form
    286,000.50/428,448.75 = 428,448.75/x
  3. Step 3: Cross multiply
    286,000.50x = 428,448.75 × 428,448.75
  4. Step 4: Simplify right side
    286,000.50x = 183,568,331,376.56
  5. Step 5: Solve for x
    x = 183,568,331,376.56/286,000.50
  6. Step 6: Final answer
    x = 641,846.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.