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Finding the Third Proportional to 227,583 and 495,282

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Solution

The third proportional to 227,583 and 495,282 is: 1,077,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,583 : 495,282 = 495,282 : x
  2. Step 2: Convert to fraction form
    227,583/495,282 = 495,282/x
  3. Step 3: Cross multiply
    227,583x = 495,282 × 495,282
  4. Step 4: Simplify right side
    227,583x = 245,304,259,524
  5. Step 5: Solve for x
    x = 245,304,259,524/227,583
  6. Step 6: Final answer
    x = 1,077,867.24

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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.