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Finding the Third Proportional to 442,877.63 and 913,704.75

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Solution

The third proportional to 442,877.63 and 913,704.75 is: 1,885,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,877.63 : 913,704.75 = 913,704.75 : x
  2. Step 2: Convert to fraction form
    442,877.63/913,704.75 = 913,704.75/x
  3. Step 3: Cross multiply
    442,877.63x = 913,704.75 × 913,704.75
  4. Step 4: Simplify right side
    442,877.63x = 834,856,370,172.56
  5. Step 5: Solve for x
    x = 834,856,370,172.56/442,877.63
  6. Step 6: Final answer
    x = 1,885,072.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.