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Finding the Third Proportional to 324,923 and 502,136

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Solution

The third proportional to 324,923 and 502,136 is: 776,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,923 : 502,136 = 502,136 : x
  2. Step 2: Convert to fraction form
    324,923/502,136 = 502,136/x
  3. Step 3: Cross multiply
    324,923x = 502,136 × 502,136
  4. Step 4: Simplify right side
    324,923x = 252,140,562,496
  5. Step 5: Solve for x
    x = 252,140,562,496/324,923
  6. Step 6: Final answer
    x = 776,000.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.