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Finding the Third Proportional to 283,327.56 and 612,325.83

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Solution

The third proportional to 283,327.56 and 612,325.83 is: 1,323,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,327.56 : 612,325.83 = 612,325.83 : x
  2. Step 2: Convert to fraction form
    283,327.56/612,325.83 = 612,325.83/x
  3. Step 3: Cross multiply
    283,327.56x = 612,325.83 × 612,325.83
  4. Step 4: Simplify right side
    283,327.56x = 374,942,919,788.97
  5. Step 5: Solve for x
    x = 374,942,919,788.97/283,327.56
  6. Step 6: Final answer
    x = 1,323,354.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.