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Finding the Third Proportional to 332,515 and 515,926

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Solution

The third proportional to 332,515 and 515,926 is: 800,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,515 : 515,926 = 515,926 : x
  2. Step 2: Convert to fraction form
    332,515/515,926 = 515,926/x
  3. Step 3: Cross multiply
    332,515x = 515,926 × 515,926
  4. Step 4: Simplify right side
    332,515x = 266,179,637,476
  5. Step 5: Solve for x
    x = 266,179,637,476/332,515
  6. Step 6: Final answer
    x = 800,504.15

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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.