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Finding the Third Proportional to 339,858,564.75 and 524,801,089.13

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Solution

The third proportional to 339,858,564.75 and 524,801,089.13 is: 810,384,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,564.75 : 524,801,089.13 = 524,801,089.13 : x
  2. Step 2: Convert to fraction form
    339,858,564.75/524,801,089.13 = 524,801,089.13/x
  3. Step 3: Cross multiply
    339,858,564.75x = 524,801,089.13 × 524,801,089.13
  4. Step 4: Simplify right side
    339,858,564.75x = 275,416,183,146,786,208
  5. Step 5: Solve for x
    x = 275,416,183,146,786,208/339,858,564.75
  6. Step 6: Final answer
    x = 810,384,706.21

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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.