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Finding the Third Proportional to 397,635.75 and 595,156.50

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Solution

The third proportional to 397,635.75 and 595,156.50 is: 890,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,635.75 : 595,156.50 = 595,156.50 : x
  2. Step 2: Convert to fraction form
    397,635.75/595,156.50 = 595,156.50/x
  3. Step 3: Cross multiply
    397,635.75x = 595,156.50 × 595,156.50
  4. Step 4: Simplify right side
    397,635.75x = 354,211,259,492.25
  5. Step 5: Solve for x
    x = 354,211,259,492.25/397,635.75
  6. Step 6: Final answer
    x = 890,793.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.