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Finding the Third Proportional to 431,941 and 595,422

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Solution

The third proportional to 431,941 and 595,422 is: 820,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,941 : 595,422 = 595,422 : x
  2. Step 2: Convert to fraction form
    431,941/595,422 = 595,422/x
  3. Step 3: Cross multiply
    431,941x = 595,422 × 595,422
  4. Step 4: Simplify right side
    431,941x = 354,527,358,084
  5. Step 5: Solve for x
    x = 354,527,358,084/431,941
  6. Step 6: Final answer
    x = 820,777.28

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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.