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Finding the Third Proportional to 254,974.13 and 554,986.75

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Solution

The third proportional to 254,974.13 and 554,986.75 is: 1,208,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,974.13 : 554,986.75 = 554,986.75 : x
  2. Step 2: Convert to fraction form
    254,974.13/554,986.75 = 554,986.75/x
  3. Step 3: Cross multiply
    254,974.13x = 554,986.75 × 554,986.75
  4. Step 4: Simplify right side
    254,974.13x = 308,010,292,675.56
  5. Step 5: Solve for x
    x = 308,010,292,675.56/254,974.13
  6. Step 6: Final answer
    x = 1,208,006.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.