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Finding the Third Proportional to 469,962.75 and 993,500.25

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Solution

The third proportional to 469,962.75 and 993,500.25 is: 2,100,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,962.75 : 993,500.25 = 993,500.25 : x
  2. Step 2: Convert to fraction form
    469,962.75/993,500.25 = 993,500.25/x
  3. Step 3: Cross multiply
    469,962.75x = 993,500.25 × 993,500.25
  4. Step 4: Simplify right side
    469,962.75x = 987,042,746,750.06
  5. Step 5: Solve for x
    x = 987,042,746,750.06/469,962.75
  6. Step 6: Final answer
    x = 2,100,257.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.