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Finding the Third Proportional to 251,736 and 532,632

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Solution

The third proportional to 251,736 and 532,632 is: 1,126,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,736 : 532,632 = 532,632 : x
  2. Step 2: Convert to fraction form
    251,736/532,632 = 532,632/x
  3. Step 3: Cross multiply
    251,736x = 532,632 × 532,632
  4. Step 4: Simplify right side
    251,736x = 283,696,847,424
  5. Step 5: Solve for x
    x = 283,696,847,424/251,736
  6. Step 6: Final answer
    x = 1,126,961.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.