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Finding the Third Proportional to 259,638.75 and 545,518.13

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Solution

The third proportional to 259,638.75 and 545,518.13 is: 1,146,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,638.75 : 545,518.13 = 545,518.13 : x
  2. Step 2: Convert to fraction form
    259,638.75/545,518.13 = 545,518.13/x
  3. Step 3: Cross multiply
    259,638.75x = 545,518.13 × 545,518.13
  4. Step 4: Simplify right side
    259,638.75x = 297,590,024,703.52
  5. Step 5: Solve for x
    x = 297,590,024,703.52/259,638.75
  6. Step 6: Final answer
    x = 1,146,169.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.