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Finding the Third Proportional to 431,936.30 and 595,416.45

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Solution

The third proportional to 431,936.30 and 595,416.45 is: 820,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,936.30 : 595,416.45 = 595,416.45 : x
  2. Step 2: Convert to fraction form
    431,936.30/595,416.45 = 595,416.45/x
  3. Step 3: Cross multiply
    431,936.30x = 595,416.45 × 595,416.45
  4. Step 4: Simplify right side
    431,936.30x = 354,520,743,348.57
  5. Step 5: Solve for x
    x = 354,520,743,348.57/431,936.30
  6. Step 6: Final answer
    x = 820,770.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.