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Finding the Third Proportional to 329,083,170 and 481,510,951

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Solution

The third proportional to 329,083,170 and 481,510,951 is: 704,541,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,083,170 : 481,510,951 = 481,510,951 : x
  2. Step 2: Convert to fraction form
    329,083,170/481,510,951 = 481,510,951/x
  3. Step 3: Cross multiply
    329,083,170x = 481,510,951 × 481,510,951
  4. Step 4: Simplify right side
    329,083,170x = 231,852,795,932,924,416
  5. Step 5: Solve for x
    x = 231,852,795,932,924,416/329,083,170
  6. Step 6: Final answer
    x = 704,541,638.92

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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.