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Finding the Third Proportional to 297,576.75 and 452,592.75

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Solution

The third proportional to 297,576.75 and 452,592.75 is: 688,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,576.75 : 452,592.75 = 452,592.75 : x
  2. Step 2: Convert to fraction form
    297,576.75/452,592.75 = 452,592.75/x
  3. Step 3: Cross multiply
    297,576.75x = 452,592.75 × 452,592.75
  4. Step 4: Simplify right side
    297,576.75x = 204,840,197,352.56
  5. Step 5: Solve for x
    x = 204,840,197,352.56/297,576.75
  6. Step 6: Final answer
    x = 688,360.89

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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.