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Finding the Third Proportional to 238,602 and 519,190

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Solution

The third proportional to 238,602 and 519,190 is: 1,129,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,602 : 519,190 = 519,190 : x
  2. Step 2: Convert to fraction form
    238,602/519,190 = 519,190/x
  3. Step 3: Cross multiply
    238,602x = 519,190 × 519,190
  4. Step 4: Simplify right side
    238,602x = 269,558,256,100
  5. Step 5: Solve for x
    x = 269,558,256,100/238,602
  6. Step 6: Final answer
    x = 1,129,740.14

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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.