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Finding the Third Proportional to 253,855.13 and 557,524.13

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Solution

The third proportional to 253,855.13 and 557,524.13 is: 1,224,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,855.13 : 557,524.13 = 557,524.13 : x
  2. Step 2: Convert to fraction form
    253,855.13/557,524.13 = 557,524.13/x
  3. Step 3: Cross multiply
    253,855.13x = 557,524.13 × 557,524.13
  4. Step 4: Simplify right side
    253,855.13x = 310,833,149,957.02
  5. Step 5: Solve for x
    x = 310,833,149,957.02/253,855.13
  6. Step 6: Final answer
    x = 1,224,450.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.