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Finding the Third Proportional to 251,919 and 532,275

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Solution

The third proportional to 251,919 and 532,275 is: 1,124,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,919 : 532,275 = 532,275 : x
  2. Step 2: Convert to fraction form
    251,919/532,275 = 532,275/x
  3. Step 3: Cross multiply
    251,919x = 532,275 × 532,275
  4. Step 4: Simplify right side
    251,919x = 283,316,675,625
  5. Step 5: Solve for x
    x = 283,316,675,625/251,919
  6. Step 6: Final answer
    x = 1,124,634.01

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