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Finding the Third Proportional to 253,720.75 and 545,713.75

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Solution

The third proportional to 253,720.75 and 545,713.75 is: 1,173,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,720.75 : 545,713.75 = 545,713.75 : x
  2. Step 2: Convert to fraction form
    253,720.75/545,713.75 = 545,713.75/x
  3. Step 3: Cross multiply
    253,720.75x = 545,713.75 × 545,713.75
  4. Step 4: Simplify right side
    253,720.75x = 297,803,496,939.06
  5. Step 5: Solve for x
    x = 297,803,496,939.06/253,720.75
  6. Step 6: Final answer
    x = 1,173,745.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.