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Finding the Third Proportional to 354,467.75 and 529,384

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Solution

The third proportional to 354,467.75 and 529,384 is: 790,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,467.75 : 529,384 = 529,384 : x
  2. Step 2: Convert to fraction form
    354,467.75/529,384 = 529,384/x
  3. Step 3: Cross multiply
    354,467.75x = 529,384 × 529,384
  4. Step 4: Simplify right side
    354,467.75x = 280,247,419,456
  5. Step 5: Solve for x
    x = 280,247,419,456/354,467.75
  6. Step 6: Final answer
    x = 790,614.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.