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Finding the Third Proportional to 383,331,172.50 and 625,879,014.75

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Solution

The third proportional to 383,331,172.50 and 625,879,014.75 is: 1,021,895,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,331,172.50 : 625,879,014.75 = 625,879,014.75 : x
  2. Step 2: Convert to fraction form
    383,331,172.50/625,879,014.75 = 625,879,014.75/x
  3. Step 3: Cross multiply
    383,331,172.50x = 625,879,014.75 × 625,879,014.75
  4. Step 4: Simplify right side
    383,331,172.50x = 391,724,541,104,430,720
  5. Step 5: Solve for x
    x = 391,724,541,104,430,720/383,331,172.50
  6. Step 6: Final answer
    x = 1,021,895,867.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.