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Finding the Third Proportional to 227,257 and 495,986

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Solution

The third proportional to 227,257 and 495,986 is: 1,082,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,257 : 495,986 = 495,986 : x
  2. Step 2: Convert to fraction form
    227,257/495,986 = 495,986/x
  3. Step 3: Cross multiply
    227,257x = 495,986 × 495,986
  4. Step 4: Simplify right side
    227,257x = 246,002,112,196
  5. Step 5: Solve for x
    x = 246,002,112,196/227,257
  6. Step 6: Final answer
    x = 1,082,484.20

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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.