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Finding the Third Proportional to 260,752.50 and 541,490.06

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Solution

The third proportional to 260,752.50 and 541,490.06 is: 1,124,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,752.50 : 541,490.06 = 541,490.06 : x
  2. Step 2: Convert to fraction form
    260,752.50/541,490.06 = 541,490.06/x
  3. Step 3: Cross multiply
    260,752.50x = 541,490.06 × 541,490.06
  4. Step 4: Simplify right side
    260,752.50x = 293,211,487,786.25
  5. Step 5: Solve for x
    x = 293,211,487,786.25/260,752.50
  6. Step 6: Final answer
    x = 1,124,481.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.