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Finding the Third Proportional to 583,134.75 and 952,206.75

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Solution

The third proportional to 583,134.75 and 952,206.75 is: 1,554,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,134.75 : 952,206.75 = 952,206.75 : x
  2. Step 2: Convert to fraction form
    583,134.75/952,206.75 = 952,206.75/x
  3. Step 3: Cross multiply
    583,134.75x = 952,206.75 × 952,206.75
  4. Step 4: Simplify right side
    583,134.75x = 906,697,694,745.56
  5. Step 5: Solve for x
    x = 906,697,694,745.56/583,134.75
  6. Step 6: Final answer
    x = 1,554,868.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.