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Finding the Third Proportional to 412,952 and 875,524

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Solution

The third proportional to 412,952 and 875,524 is: 1,856,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,952 : 875,524 = 875,524 : x
  2. Step 2: Convert to fraction form
    412,952/875,524 = 875,524/x
  3. Step 3: Cross multiply
    412,952x = 875,524 × 875,524
  4. Step 4: Simplify right side
    412,952x = 766,542,274,576
  5. Step 5: Solve for x
    x = 766,542,274,576/412,952
  6. Step 6: Final answer
    x = 1,856,250.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.