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Finding the Third Proportional to 583,130.25 and 952,198.88

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Solution

The third proportional to 583,130.25 and 952,198.88 is: 1,554,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,130.25 : 952,198.88 = 952,198.88 : x
  2. Step 2: Convert to fraction form
    583,130.25/952,198.88 = 952,198.88/x
  3. Step 3: Cross multiply
    583,130.25x = 952,198.88 × 952,198.88
  4. Step 4: Simplify right side
    583,130.25x = 906,682,697,551.27
  5. Step 5: Solve for x
    x = 906,682,697,551.27/583,130.25
  6. Step 6: Final answer
    x = 1,554,854.51

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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.