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Finding the Third Proportional to 245,262 and 379,917

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Solution

The third proportional to 245,262 and 379,917 is: 588,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,262 : 379,917 = 379,917 : x
  2. Step 2: Convert to fraction form
    245,262/379,917 = 379,917/x
  3. Step 3: Cross multiply
    245,262x = 379,917 × 379,917
  4. Step 4: Simplify right side
    245,262x = 144,336,926,889
  5. Step 5: Solve for x
    x = 144,336,926,889/245,262
  6. Step 6: Final answer
    x = 588,500.98

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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.