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Finding the Third Proportional to 329,170 and 704,995

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Solution

The third proportional to 329,170 and 704,995 is: 1,509,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,170 : 704,995 = 704,995 : x
  2. Step 2: Convert to fraction form
    329,170/704,995 = 704,995/x
  3. Step 3: Cross multiply
    329,170x = 704,995 × 704,995
  4. Step 4: Simplify right side
    329,170x = 497,017,950,025
  5. Step 5: Solve for x
    x = 497,017,950,025/329,170
  6. Step 6: Final answer
    x = 1,509,912.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.