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Finding the Third Proportional to 497,932,920 and 800,042,508

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Solution

The third proportional to 497,932,920 and 800,042,508 is: 1,285,450,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,932,920 : 800,042,508 = 800,042,508 : x
  2. Step 2: Convert to fraction form
    497,932,920/800,042,508 = 800,042,508/x
  3. Step 3: Cross multiply
    497,932,920x = 800,042,508 × 800,042,508
  4. Step 4: Simplify right side
    497,932,920x = 640,068,014,606,930,048
  5. Step 5: Solve for x
    x = 640,068,014,606,930,048/497,932,920
  6. Step 6: Final answer
    x = 1,285,450,286.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.