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Finding the Third Proportional to 312,280,773.72 and 694,383,071.44

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Solution

The third proportional to 312,280,773.72 and 694,383,071.44 is: 1,544,020,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,280,773.72 : 694,383,071.44 = 694,383,071.44 : x
  2. Step 2: Convert to fraction form
    312,280,773.72/694,383,071.44 = 694,383,071.44/x
  3. Step 3: Cross multiply
    312,280,773.72x = 694,383,071.44 × 694,383,071.44
  4. Step 4: Simplify right side
    312,280,773.72x = 482,167,849,898,976,256
  5. Step 5: Solve for x
    x = 482,167,849,898,976,256/312,280,773.72
  6. Step 6: Final answer
    x = 1,544,020,287.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.