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Finding the Third Proportional to 250,117 and 548,845

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Solution

The third proportional to 250,117 and 548,845 is: 1,204,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,117 : 548,845 = 548,845 : x
  2. Step 2: Convert to fraction form
    250,117/548,845 = 548,845/x
  3. Step 3: Cross multiply
    250,117x = 548,845 × 548,845
  4. Step 4: Simplify right side
    250,117x = 301,230,834,025
  5. Step 5: Solve for x
    x = 301,230,834,025/250,117
  6. Step 6: Final answer
    x = 1,204,359.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.