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Finding the Third Proportional to 297,529 and 453,265

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Solution

The third proportional to 297,529 and 453,265 is: 690,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,529 : 453,265 = 453,265 : x
  2. Step 2: Convert to fraction form
    297,529/453,265 = 453,265/x
  3. Step 3: Cross multiply
    297,529x = 453,265 × 453,265
  4. Step 4: Simplify right side
    297,529x = 205,449,160,225
  5. Step 5: Solve for x
    x = 205,449,160,225/297,529
  6. Step 6: Final answer
    x = 690,518.10

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Why These Related Problems?

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