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Finding the Third Proportional to 263,952 and 424,980

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Solution

The third proportional to 263,952 and 424,980 is: 684,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,952 : 424,980 = 424,980 : x
  2. Step 2: Convert to fraction form
    263,952/424,980 = 424,980/x
  3. Step 3: Cross multiply
    263,952x = 424,980 × 424,980
  4. Step 4: Simplify right side
    263,952x = 180,608,000,400
  5. Step 5: Solve for x
    x = 180,608,000,400/263,952
  6. Step 6: Final answer
    x = 684,245.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.