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Finding the Third Proportional to 251,912 and 532,260

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Solution

The third proportional to 251,912 and 532,260 is: 1,124,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,912 : 532,260 = 532,260 : x
  2. Step 2: Convert to fraction form
    251,912/532,260 = 532,260/x
  3. Step 3: Cross multiply
    251,912x = 532,260 × 532,260
  4. Step 4: Simplify right side
    251,912x = 283,300,707,600
  5. Step 5: Solve for x
    x = 283,300,707,600/251,912
  6. Step 6: Final answer
    x = 1,124,601.88

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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.