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Finding the Third Proportional to 325,678 and 707,059

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Solution

The third proportional to 325,678 and 707,059 is: 1,535,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,678 : 707,059 = 707,059 : x
  2. Step 2: Convert to fraction form
    325,678/707,059 = 707,059/x
  3. Step 3: Cross multiply
    325,678x = 707,059 × 707,059
  4. Step 4: Simplify right side
    325,678x = 499,932,429,481
  5. Step 5: Solve for x
    x = 499,932,429,481/325,678
  6. Step 6: Final answer
    x = 1,535,051.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.