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Finding the Third Proportional to 223,516 and 484,876

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Solution

The third proportional to 223,516 and 484,876 is: 1,051,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,516 : 484,876 = 484,876 : x
  2. Step 2: Convert to fraction form
    223,516/484,876 = 484,876/x
  3. Step 3: Cross multiply
    223,516x = 484,876 × 484,876
  4. Step 4: Simplify right side
    223,516x = 235,104,735,376
  5. Step 5: Solve for x
    x = 235,104,735,376/223,516
  6. Step 6: Final answer
    x = 1,051,847.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.