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Finding the Third Proportional to 297,504 and 653,976

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Solution

The third proportional to 297,504 and 653,976 is: 1,437,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,504 : 653,976 = 653,976 : x
  2. Step 2: Convert to fraction form
    297,504/653,976 = 653,976/x
  3. Step 3: Cross multiply
    297,504x = 653,976 × 653,976
  4. Step 4: Simplify right side
    297,504x = 427,684,608,576
  5. Step 5: Solve for x
    x = 427,684,608,576/297,504
  6. Step 6: Final answer
    x = 1,437,575.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.