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Finding the Third Proportional to 324,780,208 and 469,251,296

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Solution

The third proportional to 324,780,208 and 469,251,296 is: 677,987,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,780,208 : 469,251,296 = 469,251,296 : x
  2. Step 2: Convert to fraction form
    324,780,208/469,251,296 = 469,251,296/x
  3. Step 3: Cross multiply
    324,780,208x = 469,251,296 × 469,251,296
  4. Step 4: Simplify right side
    324,780,208x = 220,196,778,797,679,616
  5. Step 5: Solve for x
    x = 220,196,778,797,679,616/324,780,208
  6. Step 6: Final answer
    x = 677,987,061.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.