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Finding the Third Proportional to 253,649.25 and 599,856.75

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Solution

The third proportional to 253,649.25 and 599,856.75 is: 1,418,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,649.25 : 599,856.75 = 599,856.75 : x
  2. Step 2: Convert to fraction form
    253,649.25/599,856.75 = 599,856.75/x
  3. Step 3: Cross multiply
    253,649.25x = 599,856.75 × 599,856.75
  4. Step 4: Simplify right side
    253,649.25x = 359,828,120,520.56
  5. Step 5: Solve for x
    x = 359,828,120,520.56/253,649.25
  6. Step 6: Final answer
    x = 1,418,605.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.