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Finding the Third Proportional to 348,000.75 and 529,292.25

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Solution

The third proportional to 348,000.75 and 529,292.25 is: 805,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,000.75 : 529,292.25 = 529,292.25 : x
  2. Step 2: Convert to fraction form
    348,000.75/529,292.25 = 529,292.25/x
  3. Step 3: Cross multiply
    348,000.75x = 529,292.25 × 529,292.25
  4. Step 4: Simplify right side
    348,000.75x = 280,150,285,910.06
  5. Step 5: Solve for x
    x = 280,150,285,910.06/348,000.75
  6. Step 6: Final answer
    x = 805,027.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.