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Finding the Third Proportional to 384,508,573.50 and 595,761,815.25

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Solution

The third proportional to 384,508,573.50 and 595,761,815.25 is: 923,079,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,508,573.50 : 595,761,815.25 = 595,761,815.25 : x
  2. Step 2: Convert to fraction form
    384,508,573.50/595,761,815.25 = 595,761,815.25/x
  3. Step 3: Cross multiply
    384,508,573.50x = 595,761,815.25 × 595,761,815.25
  4. Step 4: Simplify right side
    384,508,573.50x = 354,932,140,509,975,104
  5. Step 5: Solve for x
    x = 354,932,140,509,975,104/384,508,573.50
  6. Step 6: Final answer
    x = 923,079,912.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.