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Finding the Third Proportional to 383,973.75 and 853,171.50

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Solution

The third proportional to 383,973.75 and 853,171.50 is: 1,895,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,973.75 : 853,171.50 = 853,171.50 : x
  2. Step 2: Convert to fraction form
    383,973.75/853,171.50 = 853,171.50/x
  3. Step 3: Cross multiply
    383,973.75x = 853,171.50 × 853,171.50
  4. Step 4: Simplify right side
    383,973.75x = 727,901,608,412.25
  5. Step 5: Solve for x
    x = 727,901,608,412.25/383,973.75
  6. Step 6: Final answer
    x = 1,895,706.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.