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Finding the Third Proportional to 397,530 and 594,719

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Solution

The third proportional to 397,530 and 594,719 is: 889,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,530 : 594,719 = 594,719 : x
  2. Step 2: Convert to fraction form
    397,530/594,719 = 594,719/x
  3. Step 3: Cross multiply
    397,530x = 594,719 × 594,719
  4. Step 4: Simplify right side
    397,530x = 353,690,688,961
  5. Step 5: Solve for x
    x = 353,690,688,961/397,530
  6. Step 6: Final answer
    x = 889,720.75

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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.