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Finding the Third Proportional to 428,841.50 and 913,147

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Solution

The third proportional to 428,841.50 and 913,147 is: 1,944,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,841.50 : 913,147 = 913,147 : x
  2. Step 2: Convert to fraction form
    428,841.50/913,147 = 913,147/x
  3. Step 3: Cross multiply
    428,841.50x = 913,147 × 913,147
  4. Step 4: Simplify right side
    428,841.50x = 833,837,443,609
  5. Step 5: Solve for x
    x = 833,837,443,609/428,841.50
  6. Step 6: Final answer
    x = 1,944,395.41

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