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Finding the Third Proportional to 328,627,697 and 511,785,694

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Solution

The third proportional to 328,627,697 and 511,785,694 is: 797,025,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,627,697 : 511,785,694 = 511,785,694 : x
  2. Step 2: Convert to fraction form
    328,627,697/511,785,694 = 511,785,694/x
  3. Step 3: Cross multiply
    328,627,697x = 511,785,694 × 511,785,694
  4. Step 4: Simplify right side
    328,627,697x = 261,924,596,583,061,632
  5. Step 5: Solve for x
    x = 261,924,596,583,061,632/328,627,697
  6. Step 6: Final answer
    x = 797,025,323.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.