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Finding the Third Proportional to 424,976,256 and 625,311,912

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Solution

The third proportional to 424,976,256 and 625,311,912 is: 920,086,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,976,256 : 625,311,912 = 625,311,912 : x
  2. Step 2: Convert to fraction form
    424,976,256/625,311,912 = 625,311,912/x
  3. Step 3: Cross multiply
    424,976,256x = 625,311,912 × 625,311,912
  4. Step 4: Simplify right side
    424,976,256x = 391,014,987,289,095,744
  5. Step 5: Solve for x
    x = 391,014,987,289,095,744/424,976,256
  6. Step 6: Final answer
    x = 920,086,667.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.