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Finding the Third Proportional to 339,858,655.88 and 524,801,200.50

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Solution

The third proportional to 339,858,655.88 and 524,801,200.50 is: 810,384,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,655.88 : 524,801,200.50 = 524,801,200.50 : x
  2. Step 2: Convert to fraction form
    339,858,655.88/524,801,200.50 = 524,801,200.50/x
  3. Step 3: Cross multiply
    339,858,655.88x = 524,801,200.50 × 524,801,200.50
  4. Step 4: Simplify right side
    339,858,655.88x = 275,416,300,046,241,216
  5. Step 5: Solve for x
    x = 275,416,300,046,241,216/339,858,655.88
  6. Step 6: Final answer
    x = 810,384,832.89

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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.