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Finding the Third Proportional to 275,229 and 437,856.75

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Solution

The third proportional to 275,229 and 437,856.75 is: 696,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,229 : 437,856.75 = 437,856.75 : x
  2. Step 2: Convert to fraction form
    275,229/437,856.75 = 437,856.75/x
  3. Step 3: Cross multiply
    275,229x = 437,856.75 × 437,856.75
  4. Step 4: Simplify right side
    275,229x = 191,718,533,520.56
  5. Step 5: Solve for x
    x = 191,718,533,520.56/275,229
  6. Step 6: Final answer
    x = 696,578.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.