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Finding the Third Proportional to 412,877 and 581,425

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Solution

The third proportional to 412,877 and 581,425 is: 818,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,877 : 581,425 = 581,425 : x
  2. Step 2: Convert to fraction form
    412,877/581,425 = 581,425/x
  3. Step 3: Cross multiply
    412,877x = 581,425 × 581,425
  4. Step 4: Simplify right side
    412,877x = 338,055,030,625
  5. Step 5: Solve for x
    x = 338,055,030,625/412,877
  6. Step 6: Final answer
    x = 818,779.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.