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Finding the Third Proportional to 228,015 and 494,966.25

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Solution

The third proportional to 228,015 and 494,966.25 is: 1,074,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,015 : 494,966.25 = 494,966.25 : x
  2. Step 2: Convert to fraction form
    228,015/494,966.25 = 494,966.25/x
  3. Step 3: Cross multiply
    228,015x = 494,966.25 × 494,966.25
  4. Step 4: Simplify right side
    228,015x = 244,991,588,639.06
  5. Step 5: Solve for x
    x = 244,991,588,639.06/228,015
  6. Step 6: Final answer
    x = 1,074,453.82

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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.