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Finding the Third Proportional to 202,519 and 468,847

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Solution

The third proportional to 202,519 and 468,847 is: 1,085,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519 : 468,847 = 468,847 : x
  2. Step 2: Convert to fraction form
    202,519/468,847 = 468,847/x
  3. Step 3: Cross multiply
    202,519x = 468,847 × 468,847
  4. Step 4: Simplify right side
    202,519x = 219,817,509,409
  5. Step 5: Solve for x
    x = 219,817,509,409/202,519
  6. Step 6: Final answer
    x = 1,085,416.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.