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Finding the Third Proportional to 614,067.75 and 930,642.75

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Solution

The third proportional to 614,067.75 and 930,642.75 is: 1,410,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,067.75 : 930,642.75 = 930,642.75 : x
  2. Step 2: Convert to fraction form
    614,067.75/930,642.75 = 930,642.75/x
  3. Step 3: Cross multiply
    614,067.75x = 930,642.75 × 930,642.75
  4. Step 4: Simplify right side
    614,067.75x = 866,095,928,127.56
  5. Step 5: Solve for x
    x = 866,095,928,127.56/614,067.75
  6. Step 6: Final answer
    x = 1,410,424.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.