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Finding the Third Proportional to 328,577 and 706,218

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Solution

The third proportional to 328,577 and 706,218 is: 1,517,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,577 : 706,218 = 706,218 : x
  2. Step 2: Convert to fraction form
    328,577/706,218 = 706,218/x
  3. Step 3: Cross multiply
    328,577x = 706,218 × 706,218
  4. Step 4: Simplify right side
    328,577x = 498,743,863,524
  5. Step 5: Solve for x
    x = 498,743,863,524/328,577
  6. Step 6: Final answer
    x = 1,517,890.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.