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Finding the Third Proportional to 332,070 and 733,910

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Solution

The third proportional to 332,070 and 733,910 is: 1,622,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,070 : 733,910 = 733,910 : x
  2. Step 2: Convert to fraction form
    332,070/733,910 = 733,910/x
  3. Step 3: Cross multiply
    332,070x = 733,910 × 733,910
  4. Step 4: Simplify right side
    332,070x = 538,623,888,100
  5. Step 5: Solve for x
    x = 538,623,888,100/332,070
  6. Step 6: Final answer
    x = 1,622,019.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.