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Finding the Third Proportional to 297,199.50 and 451,476

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Solution

The third proportional to 297,199.50 and 451,476 is: 685,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,199.50 : 451,476 = 451,476 : x
  2. Step 2: Convert to fraction form
    297,199.50/451,476 = 451,476/x
  3. Step 3: Cross multiply
    297,199.50x = 451,476 × 451,476
  4. Step 4: Simplify right side
    297,199.50x = 203,830,578,576
  5. Step 5: Solve for x
    x = 203,830,578,576/297,199.50
  6. Step 6: Final answer
    x = 685,837.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.