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Finding the Third Proportional to 339,858,784.13 and 524,801,404.69

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Solution

The third proportional to 339,858,784.13 and 524,801,404.69 is: 810,385,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,784.13 : 524,801,404.69 = 524,801,404.69 : x
  2. Step 2: Convert to fraction form
    339,858,784.13/524,801,404.69 = 524,801,404.69/x
  3. Step 3: Cross multiply
    339,858,784.13x = 524,801,404.69 × 524,801,404.69
  4. Step 4: Simplify right side
    339,858,784.13x = 275,416,514,361,973,152
  5. Step 5: Solve for x
    x = 275,416,514,361,973,152/339,858,784.13
  6. Step 6: Final answer
    x = 810,385,157.68

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