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Finding the Third Proportional to 332,604 and 498,392.25

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Solution

The third proportional to 332,604 and 498,392.25 is: 746,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,604 : 498,392.25 = 498,392.25 : x
  2. Step 2: Convert to fraction form
    332,604/498,392.25 = 498,392.25/x
  3. Step 3: Cross multiply
    332,604x = 498,392.25 × 498,392.25
  4. Step 4: Simplify right side
    332,604x = 248,394,834,860.06
  5. Step 5: Solve for x
    x = 248,394,834,860.06/332,604
  6. Step 6: Final answer
    x = 746,818.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.