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Finding the Third Proportional to 254,583 and 559,993.50

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Solution

The third proportional to 254,583 and 559,993.50 is: 1,231,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,583 : 559,993.50 = 559,993.50 : x
  2. Step 2: Convert to fraction form
    254,583/559,993.50 = 559,993.50/x
  3. Step 3: Cross multiply
    254,583x = 559,993.50 × 559,993.50
  4. Step 4: Simplify right side
    254,583x = 313,592,720,042.25
  5. Step 5: Solve for x
    x = 313,592,720,042.25/254,583
  6. Step 6: Final answer
    x = 1,231,789.71

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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.