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Finding the Third Proportional to 431,938.50 and 595,419

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Solution

The third proportional to 431,938.50 and 595,419 is: 820,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,938.50 : 595,419 = 595,419 : x
  2. Step 2: Convert to fraction form
    431,938.50/595,419 = 595,419/x
  3. Step 3: Cross multiply
    431,938.50x = 595,419 × 595,419
  4. Step 4: Simplify right side
    431,938.50x = 354,523,785,561
  5. Step 5: Solve for x
    x = 354,523,785,561/431,938.50
  6. Step 6: Final answer
    x = 820,773.76

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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.