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Finding the Third Proportional to 659,380.50 and 1,028,436.75

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Solution

The third proportional to 659,380.50 and 1,028,436.75 is: 1,604,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,380.50 : 1,028,436.75 = 1,028,436.75 : x
  2. Step 2: Convert to fraction form
    659,380.50/1,028,436.75 = 1,028,436.75/x
  3. Step 3: Cross multiply
    659,380.50x = 1,028,436.75 × 1,028,436.75
  4. Step 4: Simplify right side
    659,380.50x = 1,057,682,148,750.56
  5. Step 5: Solve for x
    x = 1,057,682,148,750.56/659,380.50
  6. Step 6: Final answer
    x = 1,604,054.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.