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Finding the Third Proportional to 238,597 and 519,176

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Solution

The third proportional to 238,597 and 519,176 is: 1,129,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,597 : 519,176 = 519,176 : x
  2. Step 2: Convert to fraction form
    238,597/519,176 = 519,176/x
  3. Step 3: Cross multiply
    238,597x = 519,176 × 519,176
  4. Step 4: Simplify right side
    238,597x = 269,543,718,976
  5. Step 5: Solve for x
    x = 269,543,718,976/238,597
  6. Step 6: Final answer
    x = 1,129,702.88

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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.