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Finding the Third Proportional to 328,262 and 706,744

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Solution

The third proportional to 328,262 and 706,744 is: 1,521,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,262 : 706,744 = 706,744 : x
  2. Step 2: Convert to fraction form
    328,262/706,744 = 706,744/x
  3. Step 3: Cross multiply
    328,262x = 706,744 × 706,744
  4. Step 4: Simplify right side
    328,262x = 499,487,081,536
  5. Step 5: Solve for x
    x = 499,487,081,536/328,262
  6. Step 6: Final answer
    x = 1,521,611.03

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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.