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Finding the Third Proportional to 238,595 and 519,174

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Solution

The third proportional to 238,595 and 519,174 is: 1,129,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,595 : 519,174 = 519,174 : x
  2. Step 2: Convert to fraction form
    238,595/519,174 = 519,174/x
  3. Step 3: Cross multiply
    238,595x = 519,174 × 519,174
  4. Step 4: Simplify right side
    238,595x = 269,541,642,276
  5. Step 5: Solve for x
    x = 269,541,642,276/238,595
  6. Step 6: Final answer
    x = 1,129,703.65

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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.