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Finding the Third Proportional to 588,072 and 828,150.75

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Solution

The third proportional to 588,072 and 828,150.75 is: 1,166,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,072 : 828,150.75 = 828,150.75 : x
  2. Step 2: Convert to fraction form
    588,072/828,150.75 = 828,150.75/x
  3. Step 3: Cross multiply
    588,072x = 828,150.75 × 828,150.75
  4. Step 4: Simplify right side
    588,072x = 685,833,664,725.56
  5. Step 5: Solve for x
    x = 685,833,664,725.56/588,072
  6. Step 6: Final answer
    x = 1,166,240.98

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