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Finding the Third Proportional to 273,613.50 and 585,051.75

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Solution

The third proportional to 273,613.50 and 585,051.75 is: 1,250,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,613.50 : 585,051.75 = 585,051.75 : x
  2. Step 2: Convert to fraction form
    273,613.50/585,051.75 = 585,051.75/x
  3. Step 3: Cross multiply
    273,613.50x = 585,051.75 × 585,051.75
  4. Step 4: Simplify right side
    273,613.50x = 342,285,550,178.06
  5. Step 5: Solve for x
    x = 342,285,550,178.06/273,613.50
  6. Step 6: Final answer
    x = 1,250,981.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.