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Finding the Third Proportional to 412,864.59 and 875,346.75

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Solution

The third proportional to 412,864.59 and 875,346.75 is: 1,855,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,864.59 : 875,346.75 = 875,346.75 : x
  2. Step 2: Convert to fraction form
    412,864.59/875,346.75 = 875,346.75/x
  3. Step 3: Cross multiply
    412,864.59x = 875,346.75 × 875,346.75
  4. Step 4: Simplify right side
    412,864.59x = 766,231,932,735.56
  5. Step 5: Solve for x
    x = 766,231,932,735.56/412,864.59
  6. Step 6: Final answer
    x = 1,855,891.60

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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.