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Finding the Third Proportional to 339,858,129.38 and 524,800,393.88

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Solution

The third proportional to 339,858,129.38 and 524,800,393.88 is: 810,383,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,129.38 : 524,800,393.88 = 524,800,393.88 : x
  2. Step 2: Convert to fraction form
    339,858,129.38/524,800,393.88 = 524,800,393.88/x
  3. Step 3: Cross multiply
    339,858,129.38x = 524,800,393.88 × 524,800,393.88
  4. Step 4: Simplify right side
    339,858,129.38x = 275,415,453,411,355,136
  5. Step 5: Solve for x
    x = 275,415,453,411,355,136/339,858,129.38
  6. Step 6: Final answer
    x = 810,383,597.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.