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Finding the Third Proportional to 238,609 and 519,202

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Solution

The third proportional to 238,609 and 519,202 is: 1,129,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,609 : 519,202 = 519,202 : x
  2. Step 2: Convert to fraction form
    238,609/519,202 = 519,202/x
  3. Step 3: Cross multiply
    238,609x = 519,202 × 519,202
  4. Step 4: Simplify right side
    238,609x = 269,570,716,804
  5. Step 5: Solve for x
    x = 269,570,716,804/238,609
  6. Step 6: Final answer
    x = 1,129,759.22

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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.