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Finding the Third Proportional to 291,199.50 and 445,842

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Solution

The third proportional to 291,199.50 and 445,842 is: 682,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,199.50 : 445,842 = 445,842 : x
  2. Step 2: Convert to fraction form
    291,199.50/445,842 = 445,842/x
  3. Step 3: Cross multiply
    291,199.50x = 445,842 × 445,842
  4. Step 4: Simplify right side
    291,199.50x = 198,775,088,964
  5. Step 5: Solve for x
    x = 198,775,088,964/291,199.50
  6. Step 6: Final answer
    x = 682,607.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.