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Finding the Third Proportional to 251,880 and 532,189

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Solution

The third proportional to 251,880 and 532,189 is: 1,124,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,880 : 532,189 = 532,189 : x
  2. Step 2: Convert to fraction form
    251,880/532,189 = 532,189/x
  3. Step 3: Cross multiply
    251,880x = 532,189 × 532,189
  4. Step 4: Simplify right side
    251,880x = 283,225,131,721
  5. Step 5: Solve for x
    x = 283,225,131,721/251,880
  6. Step 6: Final answer
    x = 1,124,444.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.