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Finding the Third Proportional to 297,664 and 453,484

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Solution

The third proportional to 297,664 and 453,484 is: 690,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,664 : 453,484 = 453,484 : x
  2. Step 2: Convert to fraction form
    297,664/453,484 = 453,484/x
  3. Step 3: Cross multiply
    297,664x = 453,484 × 453,484
  4. Step 4: Simplify right side
    297,664x = 205,647,738,256
  5. Step 5: Solve for x
    x = 205,647,738,256/297,664
  6. Step 6: Final answer
    x = 690,872.05

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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.