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Finding the Third Proportional to 432,326 and 690,648

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Solution

The third proportional to 432,326 and 690,648 is: 1,103,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,326 : 690,648 = 690,648 : x
  2. Step 2: Convert to fraction form
    432,326/690,648 = 690,648/x
  3. Step 3: Cross multiply
    432,326x = 690,648 × 690,648
  4. Step 4: Simplify right side
    432,326x = 476,994,659,904
  5. Step 5: Solve for x
    x = 476,994,659,904/432,326
  6. Step 6: Final answer
    x = 1,103,321.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.