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Finding the Third Proportional to 253,644.75 and 599,845.50

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Solution

The third proportional to 253,644.75 and 599,845.50 is: 1,418,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,644.75 : 599,845.50 = 599,845.50 : x
  2. Step 2: Convert to fraction form
    253,644.75/599,845.50 = 599,845.50/x
  3. Step 3: Cross multiply
    253,644.75x = 599,845.50 × 599,845.50
  4. Step 4: Simplify right side
    253,644.75x = 359,814,623,870.25
  5. Step 5: Solve for x
    x = 359,814,623,870.25/253,644.75
  6. Step 6: Final answer
    x = 1,418,577.06

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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.