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Finding the Third Proportional to 270,869,226 and 412,641,279

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Solution

The third proportional to 270,869,226 and 412,641,279 is: 628,616,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,869,226 : 412,641,279 = 412,641,279 : x
  2. Step 2: Convert to fraction form
    270,869,226/412,641,279 = 412,641,279/x
  3. Step 3: Cross multiply
    270,869,226x = 412,641,279 × 412,641,279
  4. Step 4: Simplify right side
    270,869,226x = 170,272,825,134,755,840
  5. Step 5: Solve for x
    x = 170,272,825,134,755,840/270,869,226
  6. Step 6: Final answer
    x = 628,616,353.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.