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Finding the Third Proportional to 227,584.50 and 495,288

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Solution

The third proportional to 227,584.50 and 495,288 is: 1,077,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,584.50 : 495,288 = 495,288 : x
  2. Step 2: Convert to fraction form
    227,584.50/495,288 = 495,288/x
  3. Step 3: Cross multiply
    227,584.50x = 495,288 × 495,288
  4. Step 4: Simplify right side
    227,584.50x = 245,310,202,944
  5. Step 5: Solve for x
    x = 245,310,202,944/227,584.50
  6. Step 6: Final answer
    x = 1,077,886.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.