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Finding the Third Proportional to 297,510 and 453,244

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Solution

The third proportional to 297,510 and 453,244 is: 690,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,510 : 453,244 = 453,244 : x
  2. Step 2: Convert to fraction form
    297,510/453,244 = 453,244/x
  3. Step 3: Cross multiply
    297,510x = 453,244 × 453,244
  4. Step 4: Simplify right side
    297,510x = 205,430,123,536
  5. Step 5: Solve for x
    x = 205,430,123,536/297,510
  6. Step 6: Final answer
    x = 690,498.21

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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.