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Finding the Third Proportional to 319,936 and 488,094

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Solution

The third proportional to 319,936 and 488,094 is: 744,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,936 : 488,094 = 488,094 : x
  2. Step 2: Convert to fraction form
    319,936/488,094 = 488,094/x
  3. Step 3: Cross multiply
    319,936x = 488,094 × 488,094
  4. Step 4: Simplify right side
    319,936x = 238,235,752,836
  5. Step 5: Solve for x
    x = 238,235,752,836/319,936
  6. Step 6: Final answer
    x = 744,635.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.