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Finding the Third Proportional to 323,000 and 495,799

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Solution

The third proportional to 323,000 and 495,799 is: 761,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,000 : 495,799 = 495,799 : x
  2. Step 2: Convert to fraction form
    323,000/495,799 = 495,799/x
  3. Step 3: Cross multiply
    323,000x = 495,799 × 495,799
  4. Step 4: Simplify right side
    323,000x = 245,816,648,401
  5. Step 5: Solve for x
    x = 245,816,648,401/323,000
  6. Step 6: Final answer
    x = 761,042.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.