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Finding the Third Proportional to 339,859,003.50 and 524,801,748.94

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Solution

The third proportional to 339,859,003.50 and 524,801,748.94 is: 810,385,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,859,003.50 : 524,801,748.94 = 524,801,748.94 : x
  2. Step 2: Convert to fraction form
    339,859,003.50/524,801,748.94 = 524,801,748.94/x
  3. Step 3: Cross multiply
    339,859,003.50x = 524,801,748.94 × 524,801,748.94
  4. Step 4: Simplify right side
    339,859,003.50x = 275,416,875,687,858,784
  5. Step 5: Solve for x
    x = 275,416,875,687,858,784/339,859,003.50
  6. Step 6: Final answer
    x = 810,385,697.75

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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.