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Finding the Third Proportional to 230,706 and 495,894

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Solution

The third proportional to 230,706 and 495,894 is: 1,065,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,706 : 495,894 = 495,894 : x
  2. Step 2: Convert to fraction form
    230,706/495,894 = 495,894/x
  3. Step 3: Cross multiply
    230,706x = 495,894 × 495,894
  4. Step 4: Simplify right side
    230,706x = 245,910,859,236
  5. Step 5: Solve for x
    x = 245,910,859,236/230,706
  6. Step 6: Final answer
    x = 1,065,905.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.