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Finding the Third Proportional to 461,031.75 and 944,905.50

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Solution

The third proportional to 461,031.75 and 944,905.50 is: 1,936,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,031.75 : 944,905.50 = 944,905.50 : x
  2. Step 2: Convert to fraction form
    461,031.75/944,905.50 = 944,905.50/x
  3. Step 3: Cross multiply
    461,031.75x = 944,905.50 × 944,905.50
  4. Step 4: Simplify right side
    461,031.75x = 892,846,403,930.25
  5. Step 5: Solve for x
    x = 892,846,403,930.25/461,031.75
  6. Step 6: Final answer
    x = 1,936,626.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.