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Finding the Third Proportional to 254,013.75 and 559,860.75

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Solution

The third proportional to 254,013.75 and 559,860.75 is: 1,233,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,013.75 : 559,860.75 = 559,860.75 : x
  2. Step 2: Convert to fraction form
    254,013.75/559,860.75 = 559,860.75/x
  3. Step 3: Cross multiply
    254,013.75x = 559,860.75 × 559,860.75
  4. Step 4: Simplify right side
    254,013.75x = 313,444,059,390.56
  5. Step 5: Solve for x
    x = 313,444,059,390.56/254,013.75
  6. Step 6: Final answer
    x = 1,233,964.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.