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Finding the Third Proportional to 261,983 and 394,500

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Solution

The third proportional to 261,983 and 394,500 is: 594,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,983 : 394,500 = 394,500 : x
  2. Step 2: Convert to fraction form
    261,983/394,500 = 394,500/x
  3. Step 3: Cross multiply
    261,983x = 394,500 × 394,500
  4. Step 4: Simplify right side
    261,983x = 155,630,250,000
  5. Step 5: Solve for x
    x = 155,630,250,000/261,983
  6. Step 6: Final answer
    x = 594,047.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.