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Finding the Third Proportional to 431,939.25 and 595,419.75

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Solution

The third proportional to 431,939.25 and 595,419.75 is: 820,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,939.25 : 595,419.75 = 595,419.75 : x
  2. Step 2: Convert to fraction form
    431,939.25/595,419.75 = 595,419.75/x
  3. Step 3: Cross multiply
    431,939.25x = 595,419.75 × 595,419.75
  4. Step 4: Simplify right side
    431,939.25x = 354,524,678,690.06
  5. Step 5: Solve for x
    x = 354,524,678,690.06/431,939.25
  6. Step 6: Final answer
    x = 820,774.40

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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.