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Finding the Third Proportional to 328,108,916 and 479,706,694

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Solution

The third proportional to 328,108,916 and 479,706,694 is: 701,347,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,108,916 : 479,706,694 = 479,706,694 : x
  2. Step 2: Convert to fraction form
    328,108,916/479,706,694 = 479,706,694/x
  3. Step 3: Cross multiply
    328,108,916x = 479,706,694 × 479,706,694
  4. Step 4: Simplify right side
    328,108,916x = 230,118,512,268,409,632
  5. Step 5: Solve for x
    x = 230,118,512,268,409,632/328,108,916
  6. Step 6: Final answer
    x = 701,347,939.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.