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Finding the Third Proportional to 439,105,419 and 585,394,344

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Solution

The third proportional to 439,105,419 and 585,394,344 is: 780,419,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,105,419 : 585,394,344 = 585,394,344 : x
  2. Step 2: Convert to fraction form
    439,105,419/585,394,344 = 585,394,344/x
  3. Step 3: Cross multiply
    439,105,419x = 585,394,344 × 585,394,344
  4. Step 4: Simplify right side
    439,105,419x = 342,686,537,987,190,336
  5. Step 5: Solve for x
    x = 342,686,537,987,190,336/439,105,419
  6. Step 6: Final answer
    x = 780,419,742.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.