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Finding the Third Proportional to 332,109 and 502,095

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Solution

The third proportional to 332,109 and 502,095 is: 759,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,109 : 502,095 = 502,095 : x
  2. Step 2: Convert to fraction form
    332,109/502,095 = 502,095/x
  3. Step 3: Cross multiply
    332,109x = 502,095 × 502,095
  4. Step 4: Simplify right side
    332,109x = 252,099,389,025
  5. Step 5: Solve for x
    x = 252,099,389,025/332,109
  6. Step 6: Final answer
    x = 759,086.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.