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Finding the Third Proportional to 293,207,544 and 579,014,064

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Solution

The third proportional to 293,207,544 and 579,014,064 is: 1,143,412,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,207,544 : 579,014,064 = 579,014,064 : x
  2. Step 2: Convert to fraction form
    293,207,544/579,014,064 = 579,014,064/x
  3. Step 3: Cross multiply
    293,207,544x = 579,014,064 × 579,014,064
  4. Step 4: Simplify right side
    293,207,544x = 335,257,286,309,796,096
  5. Step 5: Solve for x
    x = 335,257,286,309,796,096/293,207,544
  6. Step 6: Final answer
    x = 1,143,412,893.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.