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Finding the Third Proportional to 270,740,273.69 and 593,383,234.41

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Solution

The third proportional to 270,740,273.69 and 593,383,234.41 is: 1,300,521,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,740,273.69 : 593,383,234.41 = 593,383,234.41 : x
  2. Step 2: Convert to fraction form
    270,740,273.69/593,383,234.41 = 593,383,234.41/x
  3. Step 3: Cross multiply
    270,740,273.69x = 593,383,234.41 × 593,383,234.41
  4. Step 4: Simplify right side
    270,740,273.69x = 352,103,662,881,436,480
  5. Step 5: Solve for x
    x = 352,103,662,881,436,480/270,740,273.69
  6. Step 6: Final answer
    x = 1,300,521,928.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.