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Finding the Third Proportional to 407,401 and 877,212

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Solution

The third proportional to 407,401 and 877,212 is: 1,888,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,401 : 877,212 = 877,212 : x
  2. Step 2: Convert to fraction form
    407,401/877,212 = 877,212/x
  3. Step 3: Cross multiply
    407,401x = 877,212 × 877,212
  4. Step 4: Simplify right side
    407,401x = 769,500,892,944
  5. Step 5: Solve for x
    x = 769,500,892,944/407,401
  6. Step 6: Final answer
    x = 1,888,804.62

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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.