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Finding the Third Proportional to 248,670 and 382,443

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Solution

The third proportional to 248,670 and 382,443 is: 588,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,670 : 382,443 = 382,443 : x
  2. Step 2: Convert to fraction form
    248,670/382,443 = 382,443/x
  3. Step 3: Cross multiply
    248,670x = 382,443 × 382,443
  4. Step 4: Simplify right side
    248,670x = 146,262,648,249
  5. Step 5: Solve for x
    x = 146,262,648,249/248,670
  6. Step 6: Final answer
    x = 588,179.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.