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Finding the Third Proportional to 253,845.75 and 551,457.75

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Solution

The third proportional to 253,845.75 and 551,457.75 is: 1,197,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,845.75 : 551,457.75 = 551,457.75 : x
  2. Step 2: Convert to fraction form
    253,845.75/551,457.75 = 551,457.75/x
  3. Step 3: Cross multiply
    253,845.75x = 551,457.75 × 551,457.75
  4. Step 4: Simplify right side
    253,845.75x = 304,105,650,035.06
  5. Step 5: Solve for x
    x = 304,105,650,035.06/253,845.75
  6. Step 6: Final answer
    x = 1,197,993.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.