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Finding the Third Proportional to 299,583 and 421,383

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Solution

The third proportional to 299,583 and 421,383 is: 592,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583 : 421,383 = 421,383 : x
  2. Step 2: Convert to fraction form
    299,583/421,383 = 421,383/x
  3. Step 3: Cross multiply
    299,583x = 421,383 × 421,383
  4. Step 4: Simplify right side
    299,583x = 177,563,632,689
  5. Step 5: Solve for x
    x = 177,563,632,689/299,583
  6. Step 6: Final answer
    x = 592,702.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.