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Finding the Third Proportional to 332,544 and 497,504

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Solution

The third proportional to 332,544 and 497,504 is: 744,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,544 : 497,504 = 497,504 : x
  2. Step 2: Convert to fraction form
    332,544/497,504 = 497,504/x
  3. Step 3: Cross multiply
    332,544x = 497,504 × 497,504
  4. Step 4: Simplify right side
    332,544x = 247,510,230,016
  5. Step 5: Solve for x
    x = 247,510,230,016/332,544
  6. Step 6: Final answer
    x = 744,293.18

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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.