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Finding the Third Proportional to 339,858,811.13 and 524,801,431.69

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Solution

The third proportional to 339,858,811.13 and 524,801,431.69 is: 810,385,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,811.13 : 524,801,431.69 = 524,801,431.69 : x
  2. Step 2: Convert to fraction form
    339,858,811.13/524,801,431.69 = 524,801,431.69/x
  3. Step 3: Cross multiply
    339,858,811.13x = 524,801,431.69 × 524,801,431.69
  4. Step 4: Simplify right side
    339,858,811.13x = 275,416,542,701,249,728
  5. Step 5: Solve for x
    x = 275,416,542,701,249,728/339,858,811.13
  6. Step 6: Final answer
    x = 810,385,176.68

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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.