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Finding the Third Proportional to 328,233 and 706,686

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Solution

The third proportional to 328,233 and 706,686 is: 1,521,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,233 : 706,686 = 706,686 : x
  2. Step 2: Convert to fraction form
    328,233/706,686 = 706,686/x
  3. Step 3: Cross multiply
    328,233x = 706,686 × 706,686
  4. Step 4: Simplify right side
    328,233x = 499,405,102,596
  5. Step 5: Solve for x
    x = 499,405,102,596/328,233
  6. Step 6: Final answer
    x = 1,521,495.71

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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.