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Finding the Third Proportional to 254,739.94 and 520,540.17

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Solution

The third proportional to 254,739.94 and 520,540.17 is: 1,063,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,739.94 : 520,540.17 = 520,540.17 : x
  2. Step 2: Convert to fraction form
    254,739.94/520,540.17 = 520,540.17/x
  3. Step 3: Cross multiply
    254,739.94x = 520,540.17 × 520,540.17
  4. Step 4: Simplify right side
    254,739.94x = 270,962,070,535.66
  5. Step 5: Solve for x
    x = 270,962,070,535.66/254,739.94
  6. Step 6: Final answer
    x = 1,063,681.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.