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Finding the Third Proportional to 297,800 and 460,524

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Solution

The third proportional to 297,800 and 460,524 is: 712,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,800 : 460,524 = 460,524 : x
  2. Step 2: Convert to fraction form
    297,800/460,524 = 460,524/x
  3. Step 3: Cross multiply
    297,800x = 460,524 × 460,524
  4. Step 4: Simplify right side
    297,800x = 212,082,354,576
  5. Step 5: Solve for x
    x = 212,082,354,576/297,800
  6. Step 6: Final answer
    x = 712,163.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.