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Finding the Third Proportional to 297,296 and 653,632

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Solution

The third proportional to 297,296 and 653,632 is: 1,437,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,296 : 653,632 = 653,632 : x
  2. Step 2: Convert to fraction form
    297,296/653,632 = 653,632/x
  3. Step 3: Cross multiply
    297,296x = 653,632 × 653,632
  4. Step 4: Simplify right side
    297,296x = 427,234,791,424
  5. Step 5: Solve for x
    x = 427,234,791,424/297,296
  6. Step 6: Final answer
    x = 1,437,068.75

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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.