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Finding the Third Proportional to 227,578 and 495,285

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Solution

The third proportional to 227,578 and 495,285 is: 1,077,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,578 : 495,285 = 495,285 : x
  2. Step 2: Convert to fraction form
    227,578/495,285 = 495,285/x
  3. Step 3: Cross multiply
    227,578x = 495,285 × 495,285
  4. Step 4: Simplify right side
    227,578x = 245,307,231,225
  5. Step 5: Solve for x
    x = 245,307,231,225/227,578
  6. Step 6: Final answer
    x = 1,077,903.98

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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.