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Finding the Third Proportional to 659,418.94 and 986,360.49

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Solution

The third proportional to 659,418.94 and 986,360.49 is: 1,475,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,418.94 : 986,360.49 = 986,360.49 : x
  2. Step 2: Convert to fraction form
    659,418.94/986,360.49 = 986,360.49/x
  3. Step 3: Cross multiply
    659,418.94x = 986,360.49 × 986,360.49
  4. Step 4: Simplify right side
    659,418.94x = 972,907,022,474.87
  5. Step 5: Solve for x
    x = 972,907,022,474.87/659,418.94
  6. Step 6: Final answer
    x = 1,475,400.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.