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Finding the Third Proportional to 332,021 and 461,125

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Solution

The third proportional to 332,021 and 461,125 is: 640,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,021 : 461,125 = 461,125 : x
  2. Step 2: Convert to fraction form
    332,021/461,125 = 461,125/x
  3. Step 3: Cross multiply
    332,021x = 461,125 × 461,125
  4. Step 4: Simplify right side
    332,021x = 212,636,265,625
  5. Step 5: Solve for x
    x = 212,636,265,625/332,021
  6. Step 6: Final answer
    x = 640,430.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.