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Finding the Third Proportional to 461,335.50 and 991,647

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Solution

The third proportional to 461,335.50 and 991,647 is: 2,131,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,335.50 : 991,647 = 991,647 : x
  2. Step 2: Convert to fraction form
    461,335.50/991,647 = 991,647/x
  3. Step 3: Cross multiply
    461,335.50x = 991,647 × 991,647
  4. Step 4: Simplify right side
    461,335.50x = 983,363,772,609
  5. Step 5: Solve for x
    x = 983,363,772,609/461,335.50
  6. Step 6: Final answer
    x = 2,131,558.86

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Why These Related Problems?

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