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Finding the Third Proportional to 332,364 and 721,104

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Solution

The third proportional to 332,364 and 721,104 is: 1,564,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,364 : 721,104 = 721,104 : x
  2. Step 2: Convert to fraction form
    332,364/721,104 = 721,104/x
  3. Step 3: Cross multiply
    332,364x = 721,104 × 721,104
  4. Step 4: Simplify right side
    332,364x = 519,990,978,816
  5. Step 5: Solve for x
    x = 519,990,978,816/332,364
  6. Step 6: Final answer
    x = 1,564,522.57

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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.