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Finding the Third Proportional to 127,962 and 297,477

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Solution

The third proportional to 127,962 and 297,477 is: 691,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,962 : 297,477 = 297,477 : x
  2. Step 2: Convert to fraction form
    127,962/297,477 = 297,477/x
  3. Step 3: Cross multiply
    127,962x = 297,477 × 297,477
  4. Step 4: Simplify right side
    127,962x = 88,492,565,529
  5. Step 5: Solve for x
    x = 88,492,565,529/127,962
  6. Step 6: Final answer
    x = 691,553.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.