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Finding the Third Proportional to 383,866.50 and 826,053

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Solution

The third proportional to 383,866.50 and 826,053 is: 1,777,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,866.50 : 826,053 = 826,053 : x
  2. Step 2: Convert to fraction form
    383,866.50/826,053 = 826,053/x
  3. Step 3: Cross multiply
    383,866.50x = 826,053 × 826,053
  4. Step 4: Simplify right side
    383,866.50x = 682,363,558,809
  5. Step 5: Solve for x
    x = 682,363,558,809/383,866.50
  6. Step 6: Final answer
    x = 1,777,606.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.