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Finding the Third Proportional to 332,100 and 515,646

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Solution

The third proportional to 332,100 and 515,646 is: 800,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,100 : 515,646 = 515,646 : x
  2. Step 2: Convert to fraction form
    332,100/515,646 = 515,646/x
  3. Step 3: Cross multiply
    332,100x = 515,646 × 515,646
  4. Step 4: Simplify right side
    332,100x = 265,890,797,316
  5. Step 5: Solve for x
    x = 265,890,797,316/332,100
  6. Step 6: Final answer
    x = 800,634.74

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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.