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Finding the Third Proportional to 412,935.75 and 875,445.75

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Solution

The third proportional to 412,935.75 and 875,445.75 is: 1,855,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,935.75 : 875,445.75 = 875,445.75 : x
  2. Step 2: Convert to fraction form
    412,935.75/875,445.75 = 875,445.75/x
  3. Step 3: Cross multiply
    412,935.75x = 875,445.75 × 875,445.75
  4. Step 4: Simplify right side
    412,935.75x = 766,405,261,193.06
  5. Step 5: Solve for x
    x = 766,405,261,193.06/412,935.75
  6. Step 6: Final answer
    x = 1,855,991.55

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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.