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Finding the Third Proportional to 322,698 and 709,086

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Solution

The third proportional to 322,698 and 709,086 is: 1,558,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,698 : 709,086 = 709,086 : x
  2. Step 2: Convert to fraction form
    322,698/709,086 = 709,086/x
  3. Step 3: Cross multiply
    322,698x = 709,086 × 709,086
  4. Step 4: Simplify right side
    322,698x = 502,802,955,396
  5. Step 5: Solve for x
    x = 502,802,955,396/322,698
  6. Step 6: Final answer
    x = 1,558,122.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.