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Finding the Third Proportional to 407,876 and 882,950

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Solution

The third proportional to 407,876 and 882,950 is: 1,911,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,876 : 882,950 = 882,950 : x
  2. Step 2: Convert to fraction form
    407,876/882,950 = 882,950/x
  3. Step 3: Cross multiply
    407,876x = 882,950 × 882,950
  4. Step 4: Simplify right side
    407,876x = 779,600,702,500
  5. Step 5: Solve for x
    x = 779,600,702,500/407,876
  6. Step 6: Final answer
    x = 1,911,366.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.