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Finding the Third Proportional to 205,630.50 and 495,373.50

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Solution

The third proportional to 205,630.50 and 495,373.50 is: 1,193,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,630.50 : 495,373.50 = 495,373.50 : x
  2. Step 2: Convert to fraction form
    205,630.50/495,373.50 = 495,373.50/x
  3. Step 3: Cross multiply
    205,630.50x = 495,373.50 × 495,373.50
  4. Step 4: Simplify right side
    205,630.50x = 245,394,904,502.25
  5. Step 5: Solve for x
    x = 245,394,904,502.25/205,630.50
  6. Step 6: Final answer
    x = 1,193,377.95

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.