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Finding the Third Proportional to 251,761.50 and 547,792.88

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Solution

The third proportional to 251,761.50 and 547,792.88 is: 1,191,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,761.50 : 547,792.88 = 547,792.88 : x
  2. Step 2: Convert to fraction form
    251,761.50/547,792.88 = 547,792.88/x
  3. Step 3: Cross multiply
    251,761.50x = 547,792.88 × 547,792.88
  4. Step 4: Simplify right side
    251,761.50x = 300,077,033,900.77
  5. Step 5: Solve for x
    x = 300,077,033,900.77/251,761.50
  6. Step 6: Final answer
    x = 1,191,909.94

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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.