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Finding the Third Proportional to 332,744 and 721,544

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Solution

The third proportional to 332,744 and 721,544 is: 1,564,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,744 : 721,544 = 721,544 : x
  2. Step 2: Convert to fraction form
    332,744/721,544 = 721,544/x
  3. Step 3: Cross multiply
    332,744x = 721,544 × 721,544
  4. Step 4: Simplify right side
    332,744x = 520,625,743,936
  5. Step 5: Solve for x
    x = 520,625,743,936/332,744
  6. Step 6: Final answer
    x = 1,564,643.52

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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.