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Finding the Third Proportional to 274,748.50 and 585,788

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Solution

The third proportional to 274,748.50 and 585,788 is: 1,248,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,748.50 : 585,788 = 585,788 : x
  2. Step 2: Convert to fraction form
    274,748.50/585,788 = 585,788/x
  3. Step 3: Cross multiply
    274,748.50x = 585,788 × 585,788
  4. Step 4: Simplify right side
    274,748.50x = 343,147,580,944
  5. Step 5: Solve for x
    x = 343,147,580,944/274,748.50
  6. Step 6: Final answer
    x = 1,248,951.61

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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.