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Finding the Third Proportional to 588,049.88 and 828,123.75

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Solution

The third proportional to 588,049.88 and 828,123.75 is: 1,166,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,049.88 : 828,123.75 = 828,123.75 : x
  2. Step 2: Convert to fraction form
    588,049.88/828,123.75 = 828,123.75/x
  3. Step 3: Cross multiply
    588,049.88x = 828,123.75 × 828,123.75
  4. Step 4: Simplify right side
    588,049.88x = 685,788,945,314.06
  5. Step 5: Solve for x
    x = 685,788,945,314.06/588,049.88
  6. Step 6: Final answer
    x = 1,166,208.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.