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Finding the Third Proportional to 238,604 and 519,194

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Solution

The third proportional to 238,604 and 519,194 is: 1,129,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,604 : 519,194 = 519,194 : x
  2. Step 2: Convert to fraction form
    238,604/519,194 = 519,194/x
  3. Step 3: Cross multiply
    238,604x = 519,194 × 519,194
  4. Step 4: Simplify right side
    238,604x = 269,562,409,636
  5. Step 5: Solve for x
    x = 269,562,409,636/238,604
  6. Step 6: Final answer
    x = 1,129,748.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.