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Finding the Third Proportional to 252,861.75 and 537,904.75

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Solution

The third proportional to 252,861.75 and 537,904.75 is: 1,144,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,861.75 : 537,904.75 = 537,904.75 : x
  2. Step 2: Convert to fraction form
    252,861.75/537,904.75 = 537,904.75/x
  3. Step 3: Cross multiply
    252,861.75x = 537,904.75 × 537,904.75
  4. Step 4: Simplify right side
    252,861.75x = 289,341,520,072.56
  5. Step 5: Solve for x
    x = 289,341,520,072.56/252,861.75
  6. Step 6: Final answer
    x = 1,144,267.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.