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Finding the Third Proportional to 248,966 and 373,630

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Solution

The third proportional to 248,966 and 373,630 is: 560,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,966 : 373,630 = 373,630 : x
  2. Step 2: Convert to fraction form
    248,966/373,630 = 373,630/x
  3. Step 3: Cross multiply
    248,966x = 373,630 × 373,630
  4. Step 4: Simplify right side
    248,966x = 139,599,376,900
  5. Step 5: Solve for x
    x = 139,599,376,900/248,966
  6. Step 6: Final answer
    x = 560,716.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.