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Finding the Third Proportional to 254,007 and 559,845

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Solution

The third proportional to 254,007 and 559,845 is: 1,233,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,007 : 559,845 = 559,845 : x
  2. Step 2: Convert to fraction form
    254,007/559,845 = 559,845/x
  3. Step 3: Cross multiply
    254,007x = 559,845 × 559,845
  4. Step 4: Simplify right side
    254,007x = 313,426,424,025
  5. Step 5: Solve for x
    x = 313,426,424,025/254,007
  6. Step 6: Final answer
    x = 1,233,928.29

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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.