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Finding the Third Proportional to 328,514 and 706,132

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Solution

The third proportional to 328,514 and 706,132 is: 1,517,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,514 : 706,132 = 706,132 : x
  2. Step 2: Convert to fraction form
    328,514/706,132 = 706,132/x
  3. Step 3: Cross multiply
    328,514x = 706,132 × 706,132
  4. Step 4: Simplify right side
    328,514x = 498,622,401,424
  5. Step 5: Solve for x
    x = 498,622,401,424/328,514
  6. Step 6: Final answer
    x = 1,517,811.73

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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.