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Finding the Third Proportional to 253,836 and 541,446.75

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Solution

The third proportional to 253,836 and 541,446.75 is: 1,154,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,836 : 541,446.75 = 541,446.75 : x
  2. Step 2: Convert to fraction form
    253,836/541,446.75 = 541,446.75/x
  3. Step 3: Cross multiply
    253,836x = 541,446.75 × 541,446.75
  4. Step 4: Simplify right side
    253,836x = 293,164,583,085.56
  5. Step 5: Solve for x
    x = 293,164,583,085.56/253,836
  6. Step 6: Final answer
    x = 1,154,936.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.