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Finding the Third Proportional to 311,920 and 495,873

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Solution

The third proportional to 311,920 and 495,873 is: 788,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920 : 495,873 = 495,873 : x
  2. Step 2: Convert to fraction form
    311,920/495,873 = 495,873/x
  3. Step 3: Cross multiply
    311,920x = 495,873 × 495,873
  4. Step 4: Simplify right side
    311,920x = 245,890,032,129
  5. Step 5: Solve for x
    x = 245,890,032,129/311,920
  6. Step 6: Final answer
    x = 788,311.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.